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Finding the Third Proportional to 147,528,498 and 216,509,616

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Solution

The third proportional to 147,528,498 and 216,509,616 is: 317,744,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,528,498 : 216,509,616 = 216,509,616 : x
  2. Step 2: Convert to fraction form
    147,528,498/216,509,616 = 216,509,616/x
  3. Step 3: Cross multiply
    147,528,498x = 216,509,616 × 216,509,616
  4. Step 4: Simplify right side
    147,528,498x = 46,876,413,820,467,456
  5. Step 5: Solve for x
    x = 46,876,413,820,467,456/147,528,498
  6. Step 6: Final answer
    x = 317,744,804.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.