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Finding the Third Proportional to 153,011,682 and 330,203,565

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Solution

The third proportional to 153,011,682 and 330,203,565 is: 712,588,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,011,682 : 330,203,565 = 330,203,565 : x
  2. Step 2: Convert to fraction form
    153,011,682/330,203,565 = 330,203,565/x
  3. Step 3: Cross multiply
    153,011,682x = 330,203,565 × 330,203,565
  4. Step 4: Simplify right side
    153,011,682x = 109,034,394,338,709,232
  5. Step 5: Solve for x
    x = 109,034,394,338,709,232/153,011,682
  6. Step 6: Final answer
    x = 712,588,692.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.