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Finding the Third Proportional to 76,697,610 and 103,657,167

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Solution

The third proportional to 76,697,610 and 103,657,167 is: 140,093,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,697,610 : 103,657,167 = 103,657,167 : x
  2. Step 2: Convert to fraction form
    76,697,610/103,657,167 = 103,657,167/x
  3. Step 3: Cross multiply
    76,697,610x = 103,657,167 × 103,657,167
  4. Step 4: Simplify right side
    76,697,610x = 10,744,808,270,465,888
  5. Step 5: Solve for x
    x = 10,744,808,270,465,888/76,697,610
  6. Step 6: Final answer
    x = 140,093,130.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.