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Finding the Third Proportional to 135,812,897 and 294,188,307.50

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Solution

The third proportional to 135,812,897 and 294,188,307.50 is: 637,249,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,812,897 : 294,188,307.50 = 294,188,307.50 : x
  2. Step 2: Convert to fraction form
    135,812,897/294,188,307.50 = 294,188,307.50/x
  3. Step 3: Cross multiply
    135,812,897x = 294,188,307.50 × 294,188,307.50
  4. Step 4: Simplify right side
    135,812,897x = 86,546,760,269,714,560
  5. Step 5: Solve for x
    x = 86,546,760,269,714,560/135,812,897
  6. Step 6: Final answer
    x = 637,249,938.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.