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Finding the Third Proportional to 137,023,624.50 and 186,634,570.50

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Solution

The third proportional to 137,023,624.50 and 186,634,570.50 is: 254,207,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,023,624.50 : 186,634,570.50 = 186,634,570.50 : x
  2. Step 2: Convert to fraction form
    137,023,624.50/186,634,570.50 = 186,634,570.50/x
  3. Step 3: Cross multiply
    137,023,624.50x = 186,634,570.50 × 186,634,570.50
  4. Step 4: Simplify right side
    137,023,624.50x = 34,832,462,905,719,472
  5. Step 5: Solve for x
    x = 34,832,462,905,719,472/137,023,624.50
  6. Step 6: Final answer
    x = 254,207,718.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.