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Finding the Third Proportional to 112,415,112 and 260,224,779

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Solution

The third proportional to 112,415,112 and 260,224,779 is: 602,382,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,415,112 : 260,224,779 = 260,224,779 : x
  2. Step 2: Convert to fraction form
    112,415,112/260,224,779 = 260,224,779/x
  3. Step 3: Cross multiply
    112,415,112x = 260,224,779 × 260,224,779
  4. Step 4: Simplify right side
    112,415,112x = 67,716,935,605,598,840
  5. Step 5: Solve for x
    x = 67,716,935,605,598,840/112,415,112
  6. Step 6: Final answer
    x = 602,382,850.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.