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Finding the Third Proportional to 160,191,684 and 240,714,060.75

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Solution

The third proportional to 160,191,684 and 240,714,060.75 is: 361,712,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,191,684 : 240,714,060.75 = 240,714,060.75 : x
  2. Step 2: Convert to fraction form
    160,191,684/240,714,060.75 = 240,714,060.75/x
  3. Step 3: Cross multiply
    160,191,684x = 240,714,060.75 × 240,714,060.75
  4. Step 4: Simplify right side
    160,191,684x = 57,943,259,042,754,688
  5. Step 5: Solve for x
    x = 57,943,259,042,754,688/160,191,684
  6. Step 6: Final answer
    x = 361,712,028.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.