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Finding the Third Proportional to 118,078,542 and 256,228,060

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Solution

The third proportional to 118,078,542 and 256,228,060 is: 556,009,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078,542 : 256,228,060 = 256,228,060 : x
  2. Step 2: Convert to fraction form
    118,078,542/256,228,060 = 256,228,060/x
  3. Step 3: Cross multiply
    118,078,542x = 256,228,060 × 256,228,060
  4. Step 4: Simplify right side
    118,078,542x = 65,652,818,731,363,600
  5. Step 5: Solve for x
    x = 65,652,818,731,363,600/118,078,542
  6. Step 6: Final answer
    x = 556,009,734.02

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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.