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Finding the Third Proportional to 200,119,291,500 and 304,867,898,025

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Solution

The third proportional to 200,119,291,500 and 304,867,898,025 is: 464,445,154,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,119,291,500 : 304,867,898,025 = 304,867,898,025 : x
  2. Step 2: Convert to fraction form
    200,119,291,500/304,867,898,025 = 304,867,898,025/x
  3. Step 3: Cross multiply
    200,119,291,500x = 304,867,898,025 × 304,867,898,025
  4. Step 4: Simplify right side
    200,119,291,500x = 92,944,435,246,181,795,233,792
  5. Step 5: Solve for x
    x = 92,944,435,246,181,795,233,792/200,119,291,500
  6. Step 6: Final answer
    x = 464,445,154,435.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.