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Finding the Third Proportional to 100,532,434 and 216,943,576

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Solution

The third proportional to 100,532,434 and 216,943,576 is: 468,152,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,532,434 : 216,943,576 = 216,943,576 : x
  2. Step 2: Convert to fraction form
    100,532,434/216,943,576 = 216,943,576/x
  3. Step 3: Cross multiply
    100,532,434x = 216,943,576 × 216,943,576
  4. Step 4: Simplify right side
    100,532,434x = 47,064,515,167,667,776
  5. Step 5: Solve for x
    x = 47,064,515,167,667,776/100,532,434
  6. Step 6: Final answer
    x = 468,152,548.34

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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.