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Finding the Third Proportional to 295,161,954.75 and 645,926,197.50

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Solution

The third proportional to 295,161,954.75 and 645,926,197.50 is: 1,413,531,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,161,954.75 : 645,926,197.50 = 645,926,197.50 : x
  2. Step 2: Convert to fraction form
    295,161,954.75/645,926,197.50 = 645,926,197.50/x
  3. Step 3: Cross multiply
    295,161,954.75x = 645,926,197.50 × 645,926,197.50
  4. Step 4: Simplify right side
    295,161,954.75x = 417,220,652,616,809,024
  5. Step 5: Solve for x
    x = 417,220,652,616,809,024/295,161,954.75
  6. Step 6: Final answer
    x = 1,413,531,269.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.