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Finding the Third Proportional to 50,310,208,946 and 107,687,806,564

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Solution

The third proportional to 50,310,208,946 and 107,687,806,564 is: 230,503,190,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,310,208,946 : 107,687,806,564 = 107,687,806,564 : x
  2. Step 2: Convert to fraction form
    50,310,208,946/107,687,806,564 = 107,687,806,564/x
  3. Step 3: Cross multiply
    50,310,208,946x = 107,687,806,564 × 107,687,806,564
  4. Step 4: Simplify right side
    50,310,208,946x = 11,596,663,682,565,482,217,472
  5. Step 5: Solve for x
    x = 11,596,663,682,565,482,217,472/50,310,208,946
  6. Step 6: Final answer
    x = 230,503,190,615.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.