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Finding the Third Proportional to 90,785,091 and 194,191,904

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Solution

The third proportional to 90,785,091 and 194,191,904 is: 415,382,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,785,091 : 194,191,904 = 194,191,904 : x
  2. Step 2: Convert to fraction form
    90,785,091/194,191,904 = 194,191,904/x
  3. Step 3: Cross multiply
    90,785,091x = 194,191,904 × 194,191,904
  4. Step 4: Simplify right side
    90,785,091x = 37,710,495,579,145,216
  5. Step 5: Solve for x
    x = 37,710,495,579,145,216/90,785,091
  6. Step 6: Final answer
    x = 415,382,032.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.