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Finding the Third Proportional to 75,176,974 and 119,622,587.50

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Solution

The third proportional to 75,176,974 and 119,622,587.50 is: 190,345,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176,974 : 119,622,587.50 = 119,622,587.50 : x
  2. Step 2: Convert to fraction form
    75,176,974/119,622,587.50 = 119,622,587.50/x
  3. Step 3: Cross multiply
    75,176,974x = 119,622,587.50 × 119,622,587.50
  4. Step 4: Simplify right side
    75,176,974x = 14,309,563,440,195,156
  5. Step 5: Solve for x
    x = 14,309,563,440,195,156/75,176,974
  6. Step 6: Final answer
    x = 190,345,030.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.