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Finding the Third Proportional to 138,260,530.13 and 296,242,025.63

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Solution

The third proportional to 138,260,530.13 and 296,242,025.63 is: 634,738,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,260,530.13 : 296,242,025.63 = 296,242,025.63 : x
  2. Step 2: Convert to fraction form
    138,260,530.13/296,242,025.63 = 296,242,025.63/x
  3. Step 3: Cross multiply
    138,260,530.13x = 296,242,025.63 × 296,242,025.63
  4. Step 4: Simplify right side
    138,260,530.13x = 87,759,337,746,403,152
  5. Step 5: Solve for x
    x = 87,759,337,746,403,152/138,260,530.13
  6. Step 6: Final answer
    x = 634,738,906.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.