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Finding the Third Proportional to 46,368 and 99,297

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Solution

The third proportional to 46,368 and 99,297 is: 212,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,368 : 99,297 = 99,297 : x
  2. Step 2: Convert to fraction form
    46,368/99,297 = 99,297/x
  3. Step 3: Cross multiply
    46,368x = 99,297 × 99,297
  4. Step 4: Simplify right side
    46,368x = 9,859,894,209
  5. Step 5: Solve for x
    x = 9,859,894,209/46,368
  6. Step 6: Final answer
    x = 212,644.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.