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Finding the Third Proportional to 190,339,548 and 416,948,304

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Solution

The third proportional to 190,339,548 and 416,948,304 is: 913,346,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,339,548 : 416,948,304 = 416,948,304 : x
  2. Step 2: Convert to fraction form
    190,339,548/416,948,304 = 416,948,304/x
  3. Step 3: Cross multiply
    190,339,548x = 416,948,304 × 416,948,304
  4. Step 4: Simplify right side
    190,339,548x = 173,845,888,208,476,416
  5. Step 5: Solve for x
    x = 173,845,888,208,476,416/190,339,548
  6. Step 6: Final answer
    x = 913,346,122.94

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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.