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Finding the Third Proportional to 97,578,975 and 130,087,624.50

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Solution

The third proportional to 97,578,975 and 130,087,624.50 is: 173,426,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,578,975 : 130,087,624.50 = 130,087,624.50 : x
  2. Step 2: Convert to fraction form
    97,578,975/130,087,624.50 = 130,087,624.50/x
  3. Step 3: Cross multiply
    97,578,975x = 130,087,624.50 × 130,087,624.50
  4. Step 4: Simplify right side
    97,578,975x = 16,922,790,048,053,000
  5. Step 5: Solve for x
    x = 16,922,790,048,053,000/97,578,975
  6. Step 6: Final answer
    x = 173,426,601.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.