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Finding the Third Proportional to 190,774,239 and 413,241,494.25

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Solution

The third proportional to 190,774,239 and 413,241,494.25 is: 895,134,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,774,239 : 413,241,494.25 = 413,241,494.25 : x
  2. Step 2: Convert to fraction form
    190,774,239/413,241,494.25 = 413,241,494.25/x
  3. Step 3: Cross multiply
    190,774,239x = 413,241,494.25 × 413,241,494.25
  4. Step 4: Simplify right side
    190,774,239x = 170,768,532,569,972,768
  5. Step 5: Solve for x
    x = 170,768,532,569,972,768/190,774,239
  6. Step 6: Final answer
    x = 895,134,130.61

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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.