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Finding the Third Proportional to 111,848,747,514 and 245,351,988,528

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Solution

The third proportional to 111,848,747,514 and 245,351,988,528 is: 538,205,385,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,848,747,514 : 245,351,988,528 = 245,351,988,528 : x
  2. Step 2: Convert to fraction form
    111,848,747,514/245,351,988,528 = 245,351,988,528/x
  3. Step 3: Cross multiply
    111,848,747,514x = 245,351,988,528 × 245,351,988,528
  4. Step 4: Simplify right side
    111,848,747,514x = 60,197,598,274,643,845,709,824
  5. Step 5: Solve for x
    x = 60,197,598,274,643,845,709,824/111,848,747,514
  6. Step 6: Final answer
    x = 538,205,385,510.54

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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.