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Finding the Third Proportional to 102,087,794 and 156,916,254

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Solution

The third proportional to 102,087,794 and 156,916,254 is: 241,191,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,794 : 156,916,254 = 156,916,254 : x
  2. Step 2: Convert to fraction form
    102,087,794/156,916,254 = 156,916,254/x
  3. Step 3: Cross multiply
    102,087,794x = 156,916,254 × 156,916,254
  4. Step 4: Simplify right side
    102,087,794x = 24,622,710,769,392,516
  5. Step 5: Solve for x
    x = 24,622,710,769,392,516/102,087,794
  6. Step 6: Final answer
    x = 241,191,525.50

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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.