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Finding the Third Proportional to 137,020,878 and 319,726,429

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Solution

The third proportional to 137,020,878 and 319,726,429 is: 746,054,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020,878 : 319,726,429 = 319,726,429 : x
  2. Step 2: Convert to fraction form
    137,020,878/319,726,429 = 319,726,429/x
  3. Step 3: Cross multiply
    137,020,878x = 319,726,429 × 319,726,429
  4. Step 4: Simplify right side
    137,020,878x = 102,224,989,401,092,048
  5. Step 5: Solve for x
    x = 102,224,989,401,092,048/137,020,878
  6. Step 6: Final answer
    x = 746,054,111.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.