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Finding the Third Proportional to 174,925,181.81 and 404,962,848.84

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Solution

The third proportional to 174,925,181.81 and 404,962,848.84 is: 937,514,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,925,181.81 : 404,962,848.84 = 404,962,848.84 : x
  2. Step 2: Convert to fraction form
    174,925,181.81/404,962,848.84 = 404,962,848.84/x
  3. Step 3: Cross multiply
    174,925,181.81x = 404,962,848.84 × 404,962,848.84
  4. Step 4: Simplify right side
    174,925,181.81x = 163,994,908,943,645,920
  5. Step 5: Solve for x
    x = 163,994,908,943,645,920/174,925,181.81
  6. Step 6: Final answer
    x = 937,514,583.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.