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Finding the Third Proportional to 46,312 and 99,528

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Solution

The third proportional to 46,312 and 99,528 is: 213,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,312 : 99,528 = 99,528 : x
  2. Step 2: Convert to fraction form
    46,312/99,528 = 99,528/x
  3. Step 3: Cross multiply
    46,312x = 99,528 × 99,528
  4. Step 4: Simplify right side
    46,312x = 9,905,822,784
  5. Step 5: Solve for x
    x = 9,905,822,784/46,312
  6. Step 6: Final answer
    x = 213,893.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.