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Finding the Third Proportional to 97,578,990 and 130,087,644

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Solution

The third proportional to 97,578,990 and 130,087,644 is: 173,426,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,578,990 : 130,087,644 = 130,087,644 : x
  2. Step 2: Convert to fraction form
    97,578,990/130,087,644 = 130,087,644/x
  3. Step 3: Cross multiply
    97,578,990x = 130,087,644 × 130,087,644
  4. Step 4: Simplify right side
    97,578,990x = 16,922,795,121,470,736
  5. Step 5: Solve for x
    x = 16,922,795,121,470,736/97,578,990
  6. Step 6: Final answer
    x = 173,426,627.20

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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.