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Finding the Third Proportional to 161,339,800.50 and 243,930,534.50

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Solution

The third proportional to 161,339,800.50 and 243,930,534.50 is: 368,799,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,339,800.50 : 243,930,534.50 = 243,930,534.50 : x
  2. Step 2: Convert to fraction form
    161,339,800.50/243,930,534.50 = 243,930,534.50/x
  3. Step 3: Cross multiply
    161,339,800.50x = 243,930,534.50 × 243,930,534.50
  4. Step 4: Simplify right side
    161,339,800.50x = 59,502,105,661,455,688
  5. Step 5: Solve for x
    x = 59,502,105,661,455,688/161,339,800.50
  6. Step 6: Final answer
    x = 368,799,920.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.