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Finding the Third Proportional to 99,386 and 212,973.50

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Solution

The third proportional to 99,386 and 212,973.50 is: 456,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,386 : 212,973.50 = 212,973.50 : x
  2. Step 2: Convert to fraction form
    99,386/212,973.50 = 212,973.50/x
  3. Step 3: Cross multiply
    99,386x = 212,973.50 × 212,973.50
  4. Step 4: Simplify right side
    99,386x = 45,357,711,702.25
  5. Step 5: Solve for x
    x = 45,357,711,702.25/99,386
  6. Step 6: Final answer
    x = 456,379.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.