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Finding the Third Proportional to 195,137,748 and 385,340,328

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Solution

The third proportional to 195,137,748 and 385,340,328 is: 760,935,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,137,748 : 385,340,328 = 385,340,328 : x
  2. Step 2: Convert to fraction form
    195,137,748/385,340,328 = 385,340,328/x
  3. Step 3: Cross multiply
    195,137,748x = 385,340,328 × 385,340,328
  4. Step 4: Simplify right side
    195,137,748x = 148,487,168,383,147,584
  5. Step 5: Solve for x
    x = 148,487,168,383,147,584/195,137,748
  6. Step 6: Final answer
    x = 760,935,133.80

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.