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Finding the Third Proportional to 180,631,693.13 and 287,097,436.13

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Solution

The third proportional to 180,631,693.13 and 287,097,436.13 is: 456,314,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,631,693.13 : 287,097,436.13 = 287,097,436.13 : x
  2. Step 2: Convert to fraction form
    180,631,693.13/287,097,436.13 = 287,097,436.13/x
  3. Step 3: Cross multiply
    180,631,693.13x = 287,097,436.13 × 287,097,436.13
  4. Step 4: Simplify right side
    180,631,693.13x = 82,424,937,829,548,448
  5. Step 5: Solve for x
    x = 82,424,937,829,548,448/180,631,693.13
  6. Step 6: Final answer
    x = 456,314,926.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.