Home / 218,050,839.42-478,468,875.66

Finding the Third Proportional to 218,050,839.42 and 478,468,875.66

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Solution

The third proportional to 218,050,839.42 and 478,468,875.66 is: 1,049,904,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,839.42 : 478,468,875.66 = 478,468,875.66 : x
  2. Step 2: Convert to fraction form
    218,050,839.42/478,468,875.66 = 478,468,875.66/x
  3. Step 3: Cross multiply
    218,050,839.42x = 478,468,875.66 × 478,468,875.66
  4. Step 4: Simplify right side
    218,050,839.42x = 228,932,464,971,756,032
  5. Step 5: Solve for x
    x = 228,932,464,971,756,032/218,050,839.42
  6. Step 6: Final answer
    x = 1,049,904,075.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.