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Finding the Third Proportional to 54,938,503.13 and 120,943,504.69

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Solution

The third proportional to 54,938,503.13 and 120,943,504.69 is: 266,249,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938,503.13 : 120,943,504.69 = 120,943,504.69 : x
  2. Step 2: Convert to fraction form
    54,938,503.13/120,943,504.69 = 120,943,504.69/x
  3. Step 3: Cross multiply
    54,938,503.13x = 120,943,504.69 × 120,943,504.69
  4. Step 4: Simplify right side
    54,938,503.13x = 14,627,331,326,095,334
  5. Step 5: Solve for x
    x = 14,627,331,326,095,334/54,938,503.13
  6. Step 6: Final answer
    x = 266,249,178.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.