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Finding the Third Proportional to 140,934,348 and 215,613,441

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Solution

The third proportional to 140,934,348 and 215,613,441 is: 329,863,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,934,348 : 215,613,441 = 215,613,441 : x
  2. Step 2: Convert to fraction form
    140,934,348/215,613,441 = 215,613,441/x
  3. Step 3: Cross multiply
    140,934,348x = 215,613,441 × 215,613,441
  4. Step 4: Simplify right side
    140,934,348x = 46,489,155,939,860,480
  5. Step 5: Solve for x
    x = 46,489,155,939,860,480/140,934,348
  6. Step 6: Final answer
    x = 329,863,916.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.