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Finding the Third Proportional to 96,152,466 and 226,752,205

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Solution

The third proportional to 96,152,466 and 226,752,205 is: 534,739,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152,466 : 226,752,205 = 226,752,205 : x
  2. Step 2: Convert to fraction form
    96,152,466/226,752,205 = 226,752,205/x
  3. Step 3: Cross multiply
    96,152,466x = 226,752,205 × 226,752,205
  4. Step 4: Simplify right side
    96,152,466x = 51,416,562,472,362,024
  5. Step 5: Solve for x
    x = 51,416,562,472,362,024/96,152,466
  6. Step 6: Final answer
    x = 534,739,925.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.