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Finding the Third Proportional to 112,664,314.13 and 240,210,207

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Solution

The third proportional to 112,664,314.13 and 240,210,207 is: 512,149,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,664,314.13 : 240,210,207 = 240,210,207 : x
  2. Step 2: Convert to fraction form
    112,664,314.13/240,210,207 = 240,210,207/x
  3. Step 3: Cross multiply
    112,664,314.13x = 240,210,207 × 240,210,207
  4. Step 4: Simplify right side
    112,664,314.13x = 57,700,943,546,982,848
  5. Step 5: Solve for x
    x = 57,700,943,546,982,848/112,664,314.13
  6. Step 6: Final answer
    x = 512,149,246.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.