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Finding the Third Proportional to 164,869,987,791.38 and 357,116,830,688.25

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Solution

The third proportional to 164,869,987,791.38 and 357,116,830,688.25 is: 773,533,330,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,869,987,791.38 : 357,116,830,688.25 = 357,116,830,688.25 : x
  2. Step 2: Convert to fraction form
    164,869,987,791.38/357,116,830,688.25 = 357,116,830,688.25/x
  3. Step 3: Cross multiply
    164,869,987,791.38x = 357,116,830,688.25 × 357,116,830,688.25
  4. Step 4: Simplify right side
    164,869,987,791.38x = 127,532,430,760,820,210,663,424
  5. Step 5: Solve for x
    x = 127,532,430,760,820,210,663,424/164,869,987,791.38
  6. Step 6: Final answer
    x = 773,533,330,530.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.