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Finding the Third Proportional to 84,778,945 and 183,645,531.50

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Solution

The third proportional to 84,778,945 and 183,645,531.50 is: 397,807,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,778,945 : 183,645,531.50 = 183,645,531.50 : x
  2. Step 2: Convert to fraction form
    84,778,945/183,645,531.50 = 183,645,531.50/x
  3. Step 3: Cross multiply
    84,778,945x = 183,645,531.50 × 183,645,531.50
  4. Step 4: Simplify right side
    84,778,945x = 33,725,681,239,917,492
  5. Step 5: Solve for x
    x = 33,725,681,239,917,492/84,778,945
  6. Step 6: Final answer
    x = 397,807,276.79

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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.