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Finding the Third Proportional to 76,566,514 and 117,688,035

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Solution

The third proportional to 76,566,514 and 117,688,035 is: 180,894,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,514 : 117,688,035 = 117,688,035 : x
  2. Step 2: Convert to fraction form
    76,566,514/117,688,035 = 117,688,035/x
  3. Step 3: Cross multiply
    76,566,514x = 117,688,035 × 117,688,035
  4. Step 4: Simplify right side
    76,566,514x = 13,850,473,582,161,224
  5. Step 5: Solve for x
    x = 13,850,473,582,161,224/76,566,514
  6. Step 6: Final answer
    x = 180,894,660.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.