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Finding the Third Proportional to 356,870,098 and 545,562,340

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Solution

The third proportional to 356,870,098 and 545,562,340 is: 834,024,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,870,098 : 545,562,340 = 545,562,340 : x
  2. Step 2: Convert to fraction form
    356,870,098/545,562,340 = 545,562,340/x
  3. Step 3: Cross multiply
    356,870,098x = 545,562,340 × 545,562,340
  4. Step 4: Simplify right side
    356,870,098x = 297,638,266,826,275,584
  5. Step 5: Solve for x
    x = 297,638,266,826,275,584/356,870,098
  6. Step 6: Final answer
    x = 834,024,112.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.