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Finding the Third Proportional to 97,786,944.56 and 207,232,376.06

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Solution

The third proportional to 97,786,944.56 and 207,232,376.06 is: 439,171,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,944.56 : 207,232,376.06 = 207,232,376.06 : x
  2. Step 2: Convert to fraction form
    97,786,944.56/207,232,376.06 = 207,232,376.06/x
  3. Step 3: Cross multiply
    97,786,944.56x = 207,232,376.06 × 207,232,376.06
  4. Step 4: Simplify right side
    97,786,944.56x = 42,945,257,688,509,424
  5. Step 5: Solve for x
    x = 42,945,257,688,509,424/97,786,944.56
  6. Step 6: Final answer
    x = 439,171,689.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.