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Finding the Third Proportional to 102,087,765 and 156,916,211

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Solution

The third proportional to 102,087,765 and 156,916,211 is: 241,191,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,765 : 156,916,211 = 156,916,211 : x
  2. Step 2: Convert to fraction form
    102,087,765/156,916,211 = 156,916,211/x
  3. Step 3: Cross multiply
    102,087,765x = 156,916,211 × 156,916,211
  4. Step 4: Simplify right side
    102,087,765x = 24,622,697,274,596,520
  5. Step 5: Solve for x
    x = 24,622,697,274,596,520/102,087,765
  6. Step 6: Final answer
    x = 241,191,461.82

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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.