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Finding the Third Proportional to 227,752,390,241.25 and 489,780,732,085.50

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Solution

The third proportional to 227,752,390,241.25 and 489,780,732,085.50 is: 1,053,271,780,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752,390,241.25 : 489,780,732,085.50 = 489,780,732,085.50 : x
  2. Step 2: Convert to fraction form
    227,752,390,241.25/489,780,732,085.50 = 489,780,732,085.50/x
  3. Step 3: Cross multiply
    227,752,390,241.25x = 489,780,732,085.50 × 489,780,732,085.50
  4. Step 4: Simplify right side
    227,752,390,241.25x = 239,885,165,522,208,329,564,160
  5. Step 5: Solve for x
    x = 239,885,165,522,208,329,564,160/227,752,390,241.25
  6. Step 6: Final answer
    x = 1,053,271,780,235.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.