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Finding the Third Proportional to 144,572,998.50 and 220,249,266.75

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Solution

The third proportional to 144,572,998.50 and 220,249,266.75 is: 335,538,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,572,998.50 : 220,249,266.75 = 220,249,266.75 : x
  2. Step 2: Convert to fraction form
    144,572,998.50/220,249,266.75 = 220,249,266.75/x
  3. Step 3: Cross multiply
    144,572,998.50x = 220,249,266.75 × 220,249,266.75
  4. Step 4: Simplify right side
    144,572,998.50x = 48,509,739,503,912,656
  5. Step 5: Solve for x
    x = 48,509,739,503,912,656/144,572,998.50
  6. Step 6: Final answer
    x = 335,538,032.74

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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.