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Finding the Third Proportional to 97,547,073.35 and 227,617,697.53

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Solution

The third proportional to 97,547,073.35 and 227,617,697.53 is: 531,126,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,547,073.35 : 227,617,697.53 = 227,617,697.53 : x
  2. Step 2: Convert to fraction form
    97,547,073.35/227,617,697.53 = 227,617,697.53/x
  3. Step 3: Cross multiply
    97,547,073.35x = 227,617,697.53 × 227,617,697.53
  4. Step 4: Simplify right side
    97,547,073.35x = 51,809,816,229,427,616
  5. Step 5: Solve for x
    x = 51,809,816,229,427,616/97,547,073.35
  6. Step 6: Final answer
    x = 531,126,300.86

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.