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Finding the Third Proportional to 150,623,582 and 232,751,842.50

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Solution

The third proportional to 150,623,582 and 232,751,842.50 is: 359,660,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,623,582 : 232,751,842.50 = 232,751,842.50 : x
  2. Step 2: Convert to fraction form
    150,623,582/232,751,842.50 = 232,751,842.50/x
  3. Step 3: Cross multiply
    150,623,582x = 232,751,842.50 × 232,751,842.50
  4. Step 4: Simplify right side
    150,623,582x = 54,173,420,187,144,808
  5. Step 5: Solve for x
    x = 54,173,420,187,144,808/150,623,582
  6. Step 6: Final answer
    x = 359,660,947.30

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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.