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Finding the Third Proportional to 190,149,557 and 416,752,030

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Solution

The third proportional to 190,149,557 and 416,752,030 is: 913,398,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149,557 : 416,752,030 = 416,752,030 : x
  2. Step 2: Convert to fraction form
    190,149,557/416,752,030 = 416,752,030/x
  3. Step 3: Cross multiply
    190,149,557x = 416,752,030 × 416,752,030
  4. Step 4: Simplify right side
    190,149,557x = 173,682,254,509,120,896
  5. Step 5: Solve for x
    x = 173,682,254,509,120,896/190,149,557
  6. Step 6: Final answer
    x = 913,398,154.85

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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.