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Finding the Third Proportional to 73,240,385,280 and 158,189,371,392

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Solution

The third proportional to 73,240,385,280 and 158,189,371,392 is: 341,667,744,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,240,385,280 : 158,189,371,392 = 158,189,371,392 : x
  2. Step 2: Convert to fraction form
    73,240,385,280/158,189,371,392 = 158,189,371,392/x
  3. Step 3: Cross multiply
    73,240,385,280x = 158,189,371,392 × 158,189,371,392
  4. Step 4: Simplify right side
    73,240,385,280x = 25,023,877,221,396,108,017,664
  5. Step 5: Solve for x
    x = 25,023,877,221,396,108,017,664/73,240,385,280
  6. Step 6: Final answer
    x = 341,667,744,178.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.