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Finding the Third Proportional to 97,031,901.38 and 210,435,546.38

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Solution

The third proportional to 97,031,901.38 and 210,435,546.38 is: 456,376,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,031,901.38 : 210,435,546.38 = 210,435,546.38 : x
  2. Step 2: Convert to fraction form
    97,031,901.38/210,435,546.38 = 210,435,546.38/x
  3. Step 3: Cross multiply
    97,031,901.38x = 210,435,546.38 × 210,435,546.38
  4. Step 4: Simplify right side
    97,031,901.38x = 44,283,119,178,144,776
  5. Step 5: Solve for x
    x = 44,283,119,178,144,776/97,031,901.38
  6. Step 6: Final answer
    x = 456,376,908.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.