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Finding the Third Proportional to 74,776,548 and 120,145,102.50

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Solution

The third proportional to 74,776,548 and 120,145,102.50 is: 193,039,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,776,548 : 120,145,102.50 = 120,145,102.50 : x
  2. Step 2: Convert to fraction form
    74,776,548/120,145,102.50 = 120,145,102.50/x
  3. Step 3: Cross multiply
    74,776,548x = 120,145,102.50 × 120,145,102.50
  4. Step 4: Simplify right side
    74,776,548x = 14,434,845,654,735,506
  5. Step 5: Solve for x
    x = 14,434,845,654,735,506/74,776,548
  6. Step 6: Final answer
    x = 193,039,743.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.