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Finding the Third Proportional to 240,770,565 and 368,927,856

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Solution

The third proportional to 240,770,565 and 368,927,856 is: 565,300,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,770,565 : 368,927,856 = 368,927,856 : x
  2. Step 2: Convert to fraction form
    240,770,565/368,927,856 = 368,927,856/x
  3. Step 3: Cross multiply
    240,770,565x = 368,927,856 × 368,927,856
  4. Step 4: Simplify right side
    240,770,565x = 136,107,762,932,756,736
  5. Step 5: Solve for x
    x = 136,107,762,932,756,736/240,770,565
  6. Step 6: Final answer
    x = 565,300,675.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.