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Finding the Third Proportional to 164,869,987,802 and 357,116,830,708

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Solution

The third proportional to 164,869,987,802 and 357,116,830,708 is: 773,533,330,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,869,987,802 : 357,116,830,708 = 357,116,830,708 : x
  2. Step 2: Convert to fraction form
    164,869,987,802/357,116,830,708 = 357,116,830,708/x
  3. Step 3: Cross multiply
    164,869,987,802x = 357,116,830,708 × 357,116,830,708
  4. Step 4: Simplify right side
    164,869,987,802x = 127,532,430,774,926,326,104,064
  5. Step 5: Solve for x
    x = 127,532,430,774,926,326,104,064/164,869,987,802
  6. Step 6: Final answer
    x = 773,533,330,566.42

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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.