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Finding the Third Proportional to 87,815,239,513.50 and 118,483,376,643

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Solution

The third proportional to 87,815,239,513.50 and 118,483,376,643 is: 159,861,894,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,815,239,513.50 : 118,483,376,643 = 118,483,376,643 : x
  2. Step 2: Convert to fraction form
    87,815,239,513.50/118,483,376,643 = 118,483,376,643/x
  3. Step 3: Cross multiply
    87,815,239,513.50x = 118,483,376,643 × 118,483,376,643
  4. Step 4: Simplify right side
    87,815,239,513.50x = 14,038,310,540,726,998,401,024
  5. Step 5: Solve for x
    x = 14,038,310,540,726,998,401,024/87,815,239,513.50
  6. Step 6: Final answer
    x = 159,861,894,342.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.