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Finding the Third Proportional to 101,810,778 and 215,837,924

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Solution

The third proportional to 101,810,778 and 215,837,924 is: 457,574,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810,778 : 215,837,924 = 215,837,924 : x
  2. Step 2: Convert to fraction form
    101,810,778/215,837,924 = 215,837,924/x
  3. Step 3: Cross multiply
    101,810,778x = 215,837,924 × 215,837,924
  4. Step 4: Simplify right side
    101,810,778x = 46,586,009,436,629,776
  5. Step 5: Solve for x
    x = 46,586,009,436,629,776/101,810,778
  6. Step 6: Final answer
    x = 457,574,437.13

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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.