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Finding the Third Proportional to 433,955,038.50 and 654,968,101.50

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Solution

The third proportional to 433,955,038.50 and 654,968,101.50 is: 988,542,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,955,038.50 : 654,968,101.50 = 654,968,101.50 : x
  2. Step 2: Convert to fraction form
    433,955,038.50/654,968,101.50 = 654,968,101.50/x
  3. Step 3: Cross multiply
    433,955,038.50x = 654,968,101.50 × 654,968,101.50
  4. Step 4: Simplify right side
    433,955,038.50x = 428,983,213,982,514,304
  5. Step 5: Solve for x
    x = 428,983,213,982,514,304/433,955,038.50
  6. Step 6: Final answer
    x = 988,542,996.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.