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Finding the Third Proportional to 84,824,276 and 183,046,222

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Solution

The third proportional to 84,824,276 and 183,046,222 is: 395,003,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,824,276 : 183,046,222 = 183,046,222 : x
  2. Step 2: Convert to fraction form
    84,824,276/183,046,222 = 183,046,222/x
  3. Step 3: Cross multiply
    84,824,276x = 183,046,222 × 183,046,222
  4. Step 4: Simplify right side
    84,824,276x = 33,505,919,388,473,284
  5. Step 5: Solve for x
    x = 33,505,919,388,473,284/84,824,276
  6. Step 6: Final answer
    x = 395,003,894.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.