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Finding the Third Proportional to 141,152,695.50 and 305,755,215

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Solution

The third proportional to 141,152,695.50 and 305,755,215 is: 662,305,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,152,695.50 : 305,755,215 = 305,755,215 : x
  2. Step 2: Convert to fraction form
    141,152,695.50/305,755,215 = 305,755,215/x
  3. Step 3: Cross multiply
    141,152,695.50x = 305,755,215 × 305,755,215
  4. Step 4: Simplify right side
    141,152,695.50x = 93,486,251,499,696,224
  5. Step 5: Solve for x
    x = 93,486,251,499,696,224/141,152,695.50
  6. Step 6: Final answer
    x = 662,305,818.31

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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.