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Finding the Third Proportional to 150,623,581 and 232,751,840

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Solution

The third proportional to 150,623,581 and 232,751,840 is: 359,660,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,623,581 : 232,751,840 = 232,751,840 : x
  2. Step 2: Convert to fraction form
    150,623,581/232,751,840 = 232,751,840/x
  3. Step 3: Cross multiply
    150,623,581x = 232,751,840 × 232,751,840
  4. Step 4: Simplify right side
    150,623,581x = 54,173,419,023,385,600
  5. Step 5: Solve for x
    x = 54,173,419,023,385,600/150,623,581
  6. Step 6: Final answer
    x = 359,660,941.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.