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Finding the Third Proportional to 148,134,025.13 and 322,345,625.63

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Solution

The third proportional to 148,134,025.13 and 322,345,625.63 is: 701,437,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,134,025.13 : 322,345,625.63 = 322,345,625.63 : x
  2. Step 2: Convert to fraction form
    148,134,025.13/322,345,625.63 = 322,345,625.63/x
  3. Step 3: Cross multiply
    148,134,025.13x = 322,345,625.63 × 322,345,625.63
  4. Step 4: Simplify right side
    148,134,025.13x = 103,906,702,359,572,656
  5. Step 5: Solve for x
    x = 103,906,702,359,572,656/148,134,025.13
  6. Step 6: Final answer
    x = 701,437,109.21

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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.