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Finding the Third Proportional to 188,947,515 and 293,257,849.50

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Solution

The third proportional to 188,947,515 and 293,257,849.50 is: 455,153,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,947,515 : 293,257,849.50 = 293,257,849.50 : x
  2. Step 2: Convert to fraction form
    188,947,515/293,257,849.50 = 293,257,849.50/x
  3. Step 3: Cross multiply
    188,947,515x = 293,257,849.50 × 293,257,849.50
  4. Step 4: Simplify right side
    188,947,515x = 86,000,166,293,364,656
  5. Step 5: Solve for x
    x = 86,000,166,293,364,656/188,947,515
  6. Step 6: Final answer
    x = 455,153,730.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.