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Finding the Third Proportional to 256,103,845.50 and 551,050,557

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Solution

The third proportional to 256,103,845.50 and 551,050,557 is: 1,185,678,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,103,845.50 : 551,050,557 = 551,050,557 : x
  2. Step 2: Convert to fraction form
    256,103,845.50/551,050,557 = 551,050,557/x
  3. Step 3: Cross multiply
    256,103,845.50x = 551,050,557 × 551,050,557
  4. Step 4: Simplify right side
    256,103,845.50x = 303,656,716,370,010,240
  5. Step 5: Solve for x
    x = 303,656,716,370,010,240/256,103,845.50
  6. Step 6: Final answer
    x = 1,185,678,082.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.