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Finding the Third Proportional to 215,018,943 and 332,033,665.50

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Solution

The third proportional to 215,018,943 and 332,033,665.50 is: 512,728,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,018,943 : 332,033,665.50 = 332,033,665.50 : x
  2. Step 2: Convert to fraction form
    215,018,943/332,033,665.50 = 332,033,665.50/x
  3. Step 3: Cross multiply
    215,018,943x = 332,033,665.50 × 332,033,665.50
  4. Step 4: Simplify right side
    215,018,943x = 110,246,355,025,365,888
  5. Step 5: Solve for x
    x = 110,246,355,025,365,888/215,018,943
  6. Step 6: Final answer
    x = 512,728,569.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.