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Finding the Third Proportional to 46,486,612.50 and 101,343,432

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Solution

The third proportional to 46,486,612.50 and 101,343,432 is: 220,934,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486,612.50 : 101,343,432 = 101,343,432 : x
  2. Step 2: Convert to fraction form
    46,486,612.50/101,343,432 = 101,343,432/x
  3. Step 3: Cross multiply
    46,486,612.50x = 101,343,432 × 101,343,432
  4. Step 4: Simplify right side
    46,486,612.50x = 10,270,491,209,538,624
  5. Step 5: Solve for x
    x = 10,270,491,209,538,624/46,486,612.50
  6. Step 6: Final answer
    x = 220,934,386.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.