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Finding the Third Proportional to 208,115,457,970.50 and 331,152,605,829

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Solution

The third proportional to 208,115,457,970.50 and 331,152,605,829 is: 526,928,895,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115,457,970.50 : 331,152,605,829 = 331,152,605,829 : x
  2. Step 2: Convert to fraction form
    208,115,457,970.50/331,152,605,829 = 331,152,605,829/x
  3. Step 3: Cross multiply
    208,115,457,970.50x = 331,152,605,829 × 331,152,605,829
  4. Step 4: Simplify right side
    208,115,457,970.50x = 109,662,048,347,337,042,952,192
  5. Step 5: Solve for x
    x = 109,662,048,347,337,042,952,192/208,115,457,970.50
  6. Step 6: Final answer
    x = 526,928,895,223.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.