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Finding the Third Proportional to 136,290,043.50 and 297,557,812.50

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Solution

The third proportional to 136,290,043.50 and 297,557,812.50 is: 649,648,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,290,043.50 : 297,557,812.50 = 297,557,812.50 : x
  2. Step 2: Convert to fraction form
    136,290,043.50/297,557,812.50 = 297,557,812.50/x
  3. Step 3: Cross multiply
    136,290,043.50x = 297,557,812.50 × 297,557,812.50
  4. Step 4: Simplify right side
    136,290,043.50x = 88,540,651,779,785,152
  5. Step 5: Solve for x
    x = 88,540,651,779,785,152/136,290,043.50
  6. Step 6: Final answer
    x = 649,648,716.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.