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Finding the Third Proportional to 234,678,990.87 and 488,671,071.19

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Solution

The third proportional to 234,678,990.87 and 488,671,071.19 is: 1,017,557,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,678,990.87 : 488,671,071.19 = 488,671,071.19 : x
  2. Step 2: Convert to fraction form
    234,678,990.87/488,671,071.19 = 488,671,071.19/x
  3. Step 3: Cross multiply
    234,678,990.87x = 488,671,071.19 × 488,671,071.19
  4. Step 4: Simplify right side
    234,678,990.87x = 238,799,415,815,538,688
  5. Step 5: Solve for x
    x = 238,799,415,815,538,688/234,678,990.87
  6. Step 6: Final answer
    x = 1,017,557,706.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.