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Finding the Third Proportional to 109,054,980 and 233,429,490

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Solution

The third proportional to 109,054,980 and 233,429,490 is: 499,650,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054,980 : 233,429,490 = 233,429,490 : x
  2. Step 2: Convert to fraction form
    109,054,980/233,429,490 = 233,429,490/x
  3. Step 3: Cross multiply
    109,054,980x = 233,429,490 × 233,429,490
  4. Step 4: Simplify right side
    109,054,980x = 54,489,326,801,660,096
  5. Step 5: Solve for x
    x = 54,489,326,801,660,096/109,054,980
  6. Step 6: Final answer
    x = 499,650,055.43

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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.