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Finding the Third Proportional to 95,390,164 and 206,911,640

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Solution

The third proportional to 95,390,164 and 206,911,640 is: 448,813,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,390,164 : 206,911,640 = 206,911,640 : x
  2. Step 2: Convert to fraction form
    95,390,164/206,911,640 = 206,911,640/x
  3. Step 3: Cross multiply
    95,390,164x = 206,911,640 × 206,911,640
  4. Step 4: Simplify right side
    95,390,164x = 42,812,426,767,489,600
  5. Step 5: Solve for x
    x = 42,812,426,767,489,600/95,390,164
  6. Step 6: Final answer
    x = 448,813,850.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.