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Finding the Third Proportional to 100,574,724 and 217,175,784

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Solution

The third proportional to 100,574,724 and 217,175,784 is: 468,957,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574,724 : 217,175,784 = 217,175,784 : x
  2. Step 2: Convert to fraction form
    100,574,724/217,175,784 = 217,175,784/x
  3. Step 3: Cross multiply
    100,574,724x = 217,175,784 × 217,175,784
  4. Step 4: Simplify right side
    100,574,724x = 47,165,321,156,014,656
  5. Step 5: Solve for x
    x = 47,165,321,156,014,656/100,574,724
  6. Step 6: Final answer
    x = 468,957,997.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.