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Finding the Third Proportional to 73,849,064 and 160,702,020

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Solution

The third proportional to 73,849,064 and 160,702,020 is: 349,701,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,849,064 : 160,702,020 = 160,702,020 : x
  2. Step 2: Convert to fraction form
    73,849,064/160,702,020 = 160,702,020/x
  3. Step 3: Cross multiply
    73,849,064x = 160,702,020 × 160,702,020
  4. Step 4: Simplify right side
    73,849,064x = 25,825,139,232,080,400
  5. Step 5: Solve for x
    x = 25,825,139,232,080,400/73,849,064
  6. Step 6: Final answer
    x = 349,701,645.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.