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Finding the Third Proportional to 101,810,775.50 and 215,837,920

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Solution

The third proportional to 101,810,775.50 and 215,837,920 is: 457,574,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810,775.50 : 215,837,920 = 215,837,920 : x
  2. Step 2: Convert to fraction form
    101,810,775.50/215,837,920 = 215,837,920/x
  3. Step 3: Cross multiply
    101,810,775.50x = 215,837,920 × 215,837,920
  4. Step 4: Simplify right side
    101,810,775.50x = 46,586,007,709,926,400
  5. Step 5: Solve for x
    x = 46,586,007,709,926,400/101,810,775.50
  6. Step 6: Final answer
    x = 457,574,431.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.