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Finding the Third Proportional to 85,672,895.50 and 130,518,095.50

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Solution

The third proportional to 85,672,895.50 and 130,518,095.50 is: 198,837,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,672,895.50 : 130,518,095.50 = 130,518,095.50 : x
  2. Step 2: Convert to fraction form
    85,672,895.50/130,518,095.50 = 130,518,095.50/x
  3. Step 3: Cross multiply
    85,672,895.50x = 130,518,095.50 × 130,518,095.50
  4. Step 4: Simplify right side
    85,672,895.50x = 17,034,973,252,947,120
  5. Step 5: Solve for x
    x = 17,034,973,252,947,120/85,672,895.50
  6. Step 6: Final answer
    x = 198,837,370.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.