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Finding the Third Proportional to 89,311,730 and 191,545,963

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Solution

The third proportional to 89,311,730 and 191,545,963 is: 410,806,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,311,730 : 191,545,963 = 191,545,963 : x
  2. Step 2: Convert to fraction form
    89,311,730/191,545,963 = 191,545,963/x
  3. Step 3: Cross multiply
    89,311,730x = 191,545,963 × 191,545,963
  4. Step 4: Simplify right side
    89,311,730x = 36,689,855,941,597,368
  5. Step 5: Solve for x
    x = 36,689,855,941,597,368/89,311,730
  6. Step 6: Final answer
    x = 410,806,687.34

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Why These Related Problems?

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