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Finding the Third Proportional to 102,394,656.56 and 223,912,577.81

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Solution

The third proportional to 102,394,656.56 and 223,912,577.81 is: 489,643,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,394,656.56 : 223,912,577.81 = 223,912,577.81 : x
  2. Step 2: Convert to fraction form
    102,394,656.56/223,912,577.81 = 223,912,577.81/x
  3. Step 3: Cross multiply
    102,394,656.56x = 223,912,577.81 × 223,912,577.81
  4. Step 4: Simplify right side
    102,394,656.56x = 50,136,842,502,638,864
  5. Step 5: Solve for x
    x = 50,136,842,502,638,864/102,394,656.56
  6. Step 6: Final answer
    x = 489,643,153.13

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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.