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Finding the Third Proportional to 118,715,065.88 and 257,866,256.25

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Solution

The third proportional to 118,715,065.88 and 257,866,256.25 is: 560,122,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,715,065.88 : 257,866,256.25 = 257,866,256.25 : x
  2. Step 2: Convert to fraction form
    118,715,065.88/257,866,256.25 = 257,866,256.25/x
  3. Step 3: Cross multiply
    118,715,065.88x = 257,866,256.25 × 257,866,256.25
  4. Step 4: Simplify right side
    118,715,065.88x = 66,495,006,112,390,664
  5. Step 5: Solve for x
    x = 66,495,006,112,390,664/118,715,065.88
  6. Step 6: Final answer
    x = 560,122,724.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.