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Finding the Third Proportional to 102,087,777.75 and 156,916,230

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Solution

The third proportional to 102,087,777.75 and 156,916,230 is: 241,191,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,777.75 : 156,916,230 = 156,916,230 : x
  2. Step 2: Convert to fraction form
    102,087,777.75/156,916,230 = 156,916,230/x
  3. Step 3: Cross multiply
    102,087,777.75x = 156,916,230 × 156,916,230
  4. Step 4: Simplify right side
    102,087,777.75x = 24,622,703,237,412,900
  5. Step 5: Solve for x
    x = 24,622,703,237,412,900/102,087,777.75
  6. Step 6: Final answer
    x = 241,191,490.11

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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.