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Finding the Third Proportional to 111,849,795 and 243,060,339.75

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Solution

The third proportional to 111,849,795 and 243,060,339.75 is: 528,193,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,849,795 : 243,060,339.75 = 243,060,339.75 : x
  2. Step 2: Convert to fraction form
    111,849,795/243,060,339.75 = 243,060,339.75/x
  3. Step 3: Cross multiply
    111,849,795x = 243,060,339.75 × 243,060,339.75
  4. Step 4: Simplify right side
    111,849,795x = 59,078,328,759,385,432
  5. Step 5: Solve for x
    x = 59,078,328,759,385,432/111,849,795
  6. Step 6: Final answer
    x = 528,193,446.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.