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Finding the Third Proportional to 74,134,500.75 and 154,405,070.16

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Solution

The third proportional to 74,134,500.75 and 154,405,070.16 is: 321,590,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134,500.75 : 154,405,070.16 = 154,405,070.16 : x
  2. Step 2: Convert to fraction form
    74,134,500.75/154,405,070.16 = 154,405,070.16/x
  3. Step 3: Cross multiply
    74,134,500.75x = 154,405,070.16 × 154,405,070.16
  4. Step 4: Simplify right side
    74,134,500.75x = 23,840,925,689,956,484
  5. Step 5: Solve for x
    x = 23,840,925,689,956,484/74,134,500.75
  6. Step 6: Final answer
    x = 321,590,156.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.