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Finding the Third Proportional to 58,207,227 and 97,006,198.50

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Solution

The third proportional to 58,207,227 and 97,006,198.50 is: 161,667,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,207,227 : 97,006,198.50 = 97,006,198.50 : x
  2. Step 2: Convert to fraction form
    58,207,227/97,006,198.50 = 97,006,198.50/x
  3. Step 3: Cross multiply
    58,207,227x = 97,006,198.50 × 97,006,198.50
  4. Step 4: Simplify right side
    58,207,227x = 9,410,202,547,421,402
  5. Step 5: Solve for x
    x = 9,410,202,547,421,402/58,207,227
  6. Step 6: Final answer
    x = 161,667,253.92

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.