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Finding the Third Proportional to 190,420,650 and 263,118,080.25

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Solution

The third proportional to 190,420,650 and 263,118,080.25 is: 363,569,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,420,650 : 263,118,080.25 = 263,118,080.25 : x
  2. Step 2: Convert to fraction form
    190,420,650/263,118,080.25 = 263,118,080.25/x
  3. Step 3: Cross multiply
    190,420,650x = 263,118,080.25 × 263,118,080.25
  4. Step 4: Simplify right side
    190,420,650x = 69,231,124,154,445,440
  5. Step 5: Solve for x
    x = 69,231,124,154,445,440/190,420,650
  6. Step 6: Final answer
    x = 363,569,414.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.