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Finding the Third Proportional to 69,854,815.13 and 151,940,966.91

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Solution

The third proportional to 69,854,815.13 and 151,940,966.91 is: 330,486,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,854,815.13 : 151,940,966.91 = 151,940,966.91 : x
  2. Step 2: Convert to fraction form
    69,854,815.13/151,940,966.91 = 151,940,966.91/x
  3. Step 3: Cross multiply
    69,854,815.13x = 151,940,966.91 × 151,940,966.91
  4. Step 4: Simplify right side
    69,854,815.13x = 23,086,057,424,406,156
  5. Step 5: Solve for x
    x = 23,086,057,424,406,156/69,854,815.13
  6. Step 6: Final answer
    x = 330,486,271.89

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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.