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Finding the Third Proportional to 233,215,232 and 510,363,104

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Solution

The third proportional to 233,215,232 and 510,363,104 is: 1,116,867,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,215,232 : 510,363,104 = 510,363,104 : x
  2. Step 2: Convert to fraction form
    233,215,232/510,363,104 = 510,363,104/x
  3. Step 3: Cross multiply
    233,215,232x = 510,363,104 × 510,363,104
  4. Step 4: Simplify right side
    233,215,232x = 260,470,497,924,514,816
  5. Step 5: Solve for x
    x = 260,470,497,924,514,816/233,215,232
  6. Step 6: Final answer
    x = 1,116,867,434.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.