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Finding the Third Proportional to 42,452,865 and 90,960,095.25

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Solution

The third proportional to 42,452,865 and 90,960,095.25 is: 194,892,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,452,865 : 90,960,095.25 = 90,960,095.25 : x
  2. Step 2: Convert to fraction form
    42,452,865/90,960,095.25 = 90,960,095.25/x
  3. Step 3: Cross multiply
    42,452,865x = 90,960,095.25 × 90,960,095.25
  4. Step 4: Simplify right side
    42,452,865x = 8,273,738,927,889,073
  5. Step 5: Solve for x
    x = 8,273,738,927,889,073/42,452,865
  6. Step 6: Final answer
    x = 194,892,357.16

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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.