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Finding the Third Proportional to 76,167,348 and 116,035,686

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Solution

The third proportional to 76,167,348 and 116,035,686 is: 176,772,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,167,348 : 116,035,686 = 116,035,686 : x
  2. Step 2: Convert to fraction form
    76,167,348/116,035,686 = 116,035,686/x
  3. Step 3: Cross multiply
    76,167,348x = 116,035,686 × 116,035,686
  4. Step 4: Simplify right side
    76,167,348x = 13,464,280,425,490,596
  5. Step 5: Solve for x
    x = 13,464,280,425,490,596/76,167,348
  6. Step 6: Final answer
    x = 176,772,341.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.