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Finding the Third Proportional to 111,849,783 and 243,060,315.75

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Solution

The third proportional to 111,849,783 and 243,060,315.75 is: 528,193,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,849,783 : 243,060,315.75 = 243,060,315.75 : x
  2. Step 2: Convert to fraction form
    111,849,783/243,060,315.75 = 243,060,315.75/x
  3. Step 3: Cross multiply
    111,849,783x = 243,060,315.75 × 243,060,315.75
  4. Step 4: Simplify right side
    111,849,783x = 59,078,317,092,489,696
  5. Step 5: Solve for x
    x = 59,078,317,092,489,696/111,849,783
  6. Step 6: Final answer
    x = 528,193,399.29

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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.