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Finding the Third Proportional to 78,323,292 and 169,663,824

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Solution

The third proportional to 78,323,292 and 169,663,824 is: 367,525,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323,292 : 169,663,824 = 169,663,824 : x
  2. Step 2: Convert to fraction form
    78,323,292/169,663,824 = 169,663,824/x
  3. Step 3: Cross multiply
    78,323,292x = 169,663,824 × 169,663,824
  4. Step 4: Simplify right side
    78,323,292x = 28,785,813,174,302,976
  5. Step 5: Solve for x
    x = 28,785,813,174,302,976/78,323,292
  6. Step 6: Final answer
    x = 367,525,578.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.