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Finding the Third Proportional to 153,011,686 and 330,203,574

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Solution

The third proportional to 153,011,686 and 330,203,574 is: 712,588,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,011,686 : 330,203,574 = 330,203,574 : x
  2. Step 2: Convert to fraction form
    153,011,686/330,203,574 = 330,203,574/x
  3. Step 3: Cross multiply
    153,011,686x = 330,203,574 × 330,203,574
  4. Step 4: Simplify right side
    153,011,686x = 109,034,400,282,373,472
  5. Step 5: Solve for x
    x = 109,034,400,282,373,472/153,011,686
  6. Step 6: Final answer
    x = 712,588,712.23

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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.