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Finding the Third Proportional to 107,222,821.50 and 234,109,096.50

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Solution

The third proportional to 107,222,821.50 and 234,109,096.50 is: 511,151,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,222,821.50 : 234,109,096.50 = 234,109,096.50 : x
  2. Step 2: Convert to fraction form
    107,222,821.50/234,109,096.50 = 234,109,096.50/x
  3. Step 3: Cross multiply
    107,222,821.50x = 234,109,096.50 × 234,109,096.50
  4. Step 4: Simplify right side
    107,222,821.50x = 54,807,069,064,046,312
  5. Step 5: Solve for x
    x = 54,807,069,064,046,312/107,222,821.50
  6. Step 6: Final answer
    x = 511,151,155.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.