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Finding the Third Proportional to 42,575,100.19 and 93,210,383.81

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Solution

The third proportional to 42,575,100.19 and 93,210,383.81 is: 204,067,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,575,100.19 : 93,210,383.81 = 93,210,383.81 : x
  2. Step 2: Convert to fraction form
    42,575,100.19/93,210,383.81 = 93,210,383.81/x
  3. Step 3: Cross multiply
    42,575,100.19x = 93,210,383.81 × 93,210,383.81
  4. Step 4: Simplify right side
    42,575,100.19x = 8,688,175,650,473,562
  5. Step 5: Solve for x
    x = 8,688,175,650,473,562/42,575,100.19
  6. Step 6: Final answer
    x = 204,067,062.96

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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.