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Finding the Third Proportional to 71,029,584 and 155,884,688

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Solution

The third proportional to 71,029,584 and 155,884,688 is: 342,111,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029,584 : 155,884,688 = 155,884,688 : x
  2. Step 2: Convert to fraction form
    71,029,584/155,884,688 = 155,884,688/x
  3. Step 3: Cross multiply
    71,029,584x = 155,884,688 × 155,884,688
  4. Step 4: Simplify right side
    71,029,584x = 24,300,035,952,857,344
  5. Step 5: Solve for x
    x = 24,300,035,952,857,344/71,029,584
  6. Step 6: Final answer
    x = 342,111,477.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.