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Finding the Third Proportional to 69,071,698.13 and 103,501,136.25

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Solution

The third proportional to 69,071,698.13 and 103,501,136.25 is: 155,092,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,071,698.13 : 103,501,136.25 = 103,501,136.25 : x
  2. Step 2: Convert to fraction form
    69,071,698.13/103,501,136.25 = 103,501,136.25/x
  3. Step 3: Cross multiply
    69,071,698.13x = 103,501,136.25 × 103,501,136.25
  4. Step 4: Simplify right side
    69,071,698.13x = 10,712,485,205,041,064
  5. Step 5: Solve for x
    x = 10,712,485,205,041,064/69,071,698.13
  6. Step 6: Final answer
    x = 155,092,251.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.