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Finding the Third Proportional to 89,687,867,336 and 126,139,984,572

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Solution

The third proportional to 89,687,867,336 and 126,139,984,572 is: 177,407,448,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,687,867,336 : 126,139,984,572 = 126,139,984,572 : x
  2. Step 2: Convert to fraction form
    89,687,867,336/126,139,984,572 = 126,139,984,572/x
  3. Step 3: Cross multiply
    89,687,867,336x = 126,139,984,572 × 126,139,984,572
  4. Step 4: Simplify right side
    89,687,867,336x = 15,911,295,707,824,397,484,032
  5. Step 5: Solve for x
    x = 15,911,295,707,824,397,484,032/89,687,867,336
  6. Step 6: Final answer
    x = 177,407,448,526.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.