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Finding the Third Proportional to 191,404,281 and 296,948,277

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Solution

The third proportional to 191,404,281 and 296,948,277 is: 460,691,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,281 : 296,948,277 = 296,948,277 : x
  2. Step 2: Convert to fraction form
    191,404,281/296,948,277 = 296,948,277/x
  3. Step 3: Cross multiply
    191,404,281x = 296,948,277 × 296,948,277
  4. Step 4: Simplify right side
    191,404,281x = 88,178,279,213,268,736
  5. Step 5: Solve for x
    x = 88,178,279,213,268,736/191,404,281
  6. Step 6: Final answer
    x = 460,691,259.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.