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Finding the Third Proportional to 42,100,146 and 90,697,140

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Solution

The third proportional to 42,100,146 and 90,697,140 is: 195,390,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,100,146 : 90,697,140 = 90,697,140 : x
  2. Step 2: Convert to fraction form
    42,100,146/90,697,140 = 90,697,140/x
  3. Step 3: Cross multiply
    42,100,146x = 90,697,140 × 90,697,140
  4. Step 4: Simplify right side
    42,100,146x = 8,225,971,204,179,600
  5. Step 5: Solve for x
    x = 8,225,971,204,179,600/42,100,146
  6. Step 6: Final answer
    x = 195,390,562.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.