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Finding the Third Proportional to 95,506,920 and 204,641,280

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Solution

The third proportional to 95,506,920 and 204,641,280 is: 438,481,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,506,920 : 204,641,280 = 204,641,280 : x
  2. Step 2: Convert to fraction form
    95,506,920/204,641,280 = 204,641,280/x
  3. Step 3: Cross multiply
    95,506,920x = 204,641,280 × 204,641,280
  4. Step 4: Simplify right side
    95,506,920x = 41,878,053,480,038,400
  5. Step 5: Solve for x
    x = 41,878,053,480,038,400/95,506,920
  6. Step 6: Final answer
    x = 438,481,876.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.