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Finding the Third Proportional to 136,290,046 and 297,557,817

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Solution

The third proportional to 136,290,046 and 297,557,817 is: 649,648,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,290,046 : 297,557,817 = 297,557,817 : x
  2. Step 2: Convert to fraction form
    136,290,046/297,557,817 = 297,557,817/x
  3. Step 3: Cross multiply
    136,290,046x = 297,557,817 × 297,557,817
  4. Step 4: Simplify right side
    136,290,046x = 88,540,654,457,805,488
  5. Step 5: Solve for x
    x = 88,540,654,457,805,488/136,290,046
  6. Step 6: Final answer
    x = 649,648,723.85

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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.