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Finding the Third Proportional to 192,048,696 and 420,525,360

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Solution

The third proportional to 192,048,696 and 420,525,360 is: 920,816,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,048,696 : 420,525,360 = 420,525,360 : x
  2. Step 2: Convert to fraction form
    192,048,696/420,525,360 = 420,525,360/x
  3. Step 3: Cross multiply
    192,048,696x = 420,525,360 × 420,525,360
  4. Step 4: Simplify right side
    192,048,696x = 176,841,578,403,129,600
  5. Step 5: Solve for x
    x = 176,841,578,403,129,600/192,048,696
  6. Step 6: Final answer
    x = 920,816,345.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.