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Finding the Third Proportional to 145,506,838.50 and 219,770,934.75

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Solution

The third proportional to 145,506,838.50 and 219,770,934.75 is: 331,938,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,506,838.50 : 219,770,934.75 = 219,770,934.75 : x
  2. Step 2: Convert to fraction form
    145,506,838.50/219,770,934.75 = 219,770,934.75/x
  3. Step 3: Cross multiply
    145,506,838.50x = 219,770,934.75 × 219,770,934.75
  4. Step 4: Simplify right side
    145,506,838.50x = 48,299,263,760,888,760
  5. Step 5: Solve for x
    x = 48,299,263,760,888,760/145,506,838.50
  6. Step 6: Final answer
    x = 331,938,101.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.