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Finding the Third Proportional to 144,374,200.50 and 300,645,681

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Solution

The third proportional to 144,374,200.50 and 300,645,681 is: 626,066,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,374,200.50 : 300,645,681 = 300,645,681 : x
  2. Step 2: Convert to fraction form
    144,374,200.50/300,645,681 = 300,645,681/x
  3. Step 3: Cross multiply
    144,374,200.50x = 300,645,681 × 300,645,681
  4. Step 4: Simplify right side
    144,374,200.50x = 90,387,825,503,953,760
  5. Step 5: Solve for x
    x = 90,387,825,503,953,760/144,374,200.50
  6. Step 6: Final answer
    x = 626,066,327.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.