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Finding the Third Proportional to 141,878,402 and 305,635,540

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Solution

The third proportional to 141,878,402 and 305,635,540 is: 658,402,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878,402 : 305,635,540 = 305,635,540 : x
  2. Step 2: Convert to fraction form
    141,878,402/305,635,540 = 305,635,540/x
  3. Step 3: Cross multiply
    141,878,402x = 305,635,540 × 305,635,540
  4. Step 4: Simplify right side
    141,878,402x = 93,413,083,311,091,600
  5. Step 5: Solve for x
    x = 93,413,083,311,091,600/141,878,402
  6. Step 6: Final answer
    x = 658,402,420.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.