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Finding the Third Proportional to 144,572,998 and 220,249,267

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Solution

The third proportional to 144,572,998 and 220,249,267 is: 335,538,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,572,998 : 220,249,267 = 220,249,267 : x
  2. Step 2: Convert to fraction form
    144,572,998/220,249,267 = 220,249,267/x
  3. Step 3: Cross multiply
    144,572,998x = 220,249,267 × 220,249,267
  4. Step 4: Simplify right side
    144,572,998x = 48,509,739,614,037,288
  5. Step 5: Solve for x
    x = 48,509,739,614,037,288/144,572,998
  6. Step 6: Final answer
    x = 335,538,034.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.