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Finding the Third Proportional to 149,602,254,432 and 329,124,595,584

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Solution

The third proportional to 149,602,254,432 and 329,124,595,584 is: 724,073,309,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602,254,432 : 329,124,595,584 = 329,124,595,584 : x
  2. Step 2: Convert to fraction form
    149,602,254,432/329,124,595,584 = 329,124,595,584/x
  3. Step 3: Cross multiply
    149,602,254,432x = 329,124,595,584 × 329,124,595,584
  4. Step 4: Simplify right side
    149,602,254,432x = 108,322,999,418,331,544,420,352
  5. Step 5: Solve for x
    x = 108,322,999,418,331,544,420,352/149,602,254,432
  6. Step 6: Final answer
    x = 724,073,309,119.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.