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Finding the Third Proportional to 71,966,099.25 and 102,566,210.63

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Solution

The third proportional to 71,966,099.25 and 102,566,210.63 is: 146,177,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966,099.25 : 102,566,210.63 = 102,566,210.63 : x
  2. Step 2: Convert to fraction form
    71,966,099.25/102,566,210.63 = 102,566,210.63/x
  3. Step 3: Cross multiply
    71,966,099.25x = 102,566,210.63 × 102,566,210.63
  4. Step 4: Simplify right side
    71,966,099.25x = 10,519,827,561,971,862
  5. Step 5: Solve for x
    x = 10,519,827,561,971,862/71,966,099.25
  6. Step 6: Final answer
    x = 146,177,542.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.