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Finding the Third Proportional to 42,156,599.34 and 94,006,359.84

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Solution

The third proportional to 42,156,599.34 and 94,006,359.84 is: 209,627,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,156,599.34 : 94,006,359.84 = 94,006,359.84 : x
  2. Step 2: Convert to fraction form
    42,156,599.34/94,006,359.84 = 94,006,359.84/x
  3. Step 3: Cross multiply
    42,156,599.34x = 94,006,359.84 × 94,006,359.84
  4. Step 4: Simplify right side
    42,156,599.34x = 8,837,195,691,072,613
  5. Step 5: Solve for x
    x = 8,837,195,691,072,613/42,156,599.34
  6. Step 6: Final answer
    x = 209,627,812.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.