Home / 258,686,284,110-566,138,723,965.50

Finding the Third Proportional to 258,686,284,110 and 566,138,723,965.50

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Solution

The third proportional to 258,686,284,110 and 566,138,723,965.50 is: 1,239,002,894,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,686,284,110 : 566,138,723,965.50 = 566,138,723,965.50 : x
  2. Step 2: Convert to fraction form
    258,686,284,110/566,138,723,965.50 = 566,138,723,965.50/x
  3. Step 3: Cross multiply
    258,686,284,110x = 566,138,723,965.50 × 566,138,723,965.50
  4. Step 4: Simplify right side
    258,686,284,110x = 320,513,054,773,284,614,176,768
  5. Step 5: Solve for x
    x = 320,513,054,773,284,614,176,768/258,686,284,110
  6. Step 6: Final answer
    x = 1,239,002,894,475.05

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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.