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Finding the Third Proportional to 42,709,294.02 and 91,471,946.69

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Solution

The third proportional to 42,709,294.02 and 91,471,946.69 is: 195,908,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709,294.02 : 91,471,946.69 = 91,471,946.69 : x
  2. Step 2: Convert to fraction form
    42,709,294.02/91,471,946.69 = 91,471,946.69/x
  3. Step 3: Cross multiply
    42,709,294.02x = 91,471,946.69 × 91,471,946.69
  4. Step 4: Simplify right side
    42,709,294.02x = 8,367,117,031,425,596
  5. Step 5: Solve for x
    x = 8,367,117,031,425,596/42,709,294.02
  6. Step 6: Final answer
    x = 195,908,577.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.