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Finding the Third Proportional to 137,030,713 and 201,761,101

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Solution

The third proportional to 137,030,713 and 201,761,101 is: 297,068,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,030,713 : 201,761,101 = 201,761,101 : x
  2. Step 2: Convert to fraction form
    137,030,713/201,761,101 = 201,761,101/x
  3. Step 3: Cross multiply
    137,030,713x = 201,761,101 × 201,761,101
  4. Step 4: Simplify right side
    137,030,713x = 40,707,541,876,732,200
  5. Step 5: Solve for x
    x = 40,707,541,876,732,200/137,030,713
  6. Step 6: Final answer
    x = 297,068,744.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.