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Finding the Third Proportional to 46,798,840.13 and 104,351,979.38

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Solution

The third proportional to 46,798,840.13 and 104,351,979.38 is: 232,683,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,798,840.13 : 104,351,979.38 = 104,351,979.38 : x
  2. Step 2: Convert to fraction form
    46,798,840.13/104,351,979.38 = 104,351,979.38/x
  3. Step 3: Cross multiply
    46,798,840.13x = 104,351,979.38 × 104,351,979.38
  4. Step 4: Simplify right side
    46,798,840.13x = 10,889,335,599,480,426
  5. Step 5: Solve for x
    x = 10,889,335,599,480,426/46,798,840.13
  6. Step 6: Final answer
    x = 232,683,877.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.