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Finding the Third Proportional to 215,891,260.50 and 315,740,097

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Solution

The third proportional to 215,891,260.50 and 315,740,097 is: 461,768,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,891,260.50 : 315,740,097 = 315,740,097 : x
  2. Step 2: Convert to fraction form
    215,891,260.50/315,740,097 = 315,740,097/x
  3. Step 3: Cross multiply
    215,891,260.50x = 315,740,097 × 315,740,097
  4. Step 4: Simplify right side
    215,891,260.50x = 99,691,808,853,569,408
  5. Step 5: Solve for x
    x = 99,691,808,853,569,408/215,891,260.50
  6. Step 6: Final answer
    x = 461,768,617.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.