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Finding the Third Proportional to 932,356,099.50 and 1,398,191,788.50

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Solution

The third proportional to 932,356,099.50 and 1,398,191,788.50 is: 2,096,774,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,356,099.50 : 1,398,191,788.50 = 1,398,191,788.50 : x
  2. Step 2: Convert to fraction form
    932,356,099.50/1,398,191,788.50 = 1,398,191,788.50/x
  3. Step 3: Cross multiply
    932,356,099.50x = 1,398,191,788.50 × 1,398,191,788.50
  4. Step 4: Simplify right side
    932,356,099.50x = 1,954,940,277,428,828,672
  5. Step 5: Solve for x
    x = 1,954,940,277,428,828,672/932,356,099.50
  6. Step 6: Final answer
    x = 2,096,774,267.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.