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Finding the Third Proportional to 105,520,806 and 232,509,507.75

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Solution

The third proportional to 105,520,806 and 232,509,507.75 is: 512,322,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,520,806 : 232,509,507.75 = 232,509,507.75 : x
  2. Step 2: Convert to fraction form
    105,520,806/232,509,507.75 = 232,509,507.75/x
  3. Step 3: Cross multiply
    105,520,806x = 232,509,507.75 × 232,509,507.75
  4. Step 4: Simplify right side
    105,520,806x = 54,060,671,194,147,312
  5. Step 5: Solve for x
    x = 54,060,671,194,147,312/105,520,806
  6. Step 6: Final answer
    x = 512,322,386.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.