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Finding the Third Proportional to 153,671,081.50 and 335,425,403

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Solution

The third proportional to 153,671,081.50 and 335,425,403 is: 732,149,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,671,081.50 : 335,425,403 = 335,425,403 : x
  2. Step 2: Convert to fraction form
    153,671,081.50/335,425,403 = 335,425,403/x
  3. Step 3: Cross multiply
    153,671,081.50x = 335,425,403 × 335,425,403
  4. Step 4: Simplify right side
    153,671,081.50x = 112,510,200,977,712,416
  5. Step 5: Solve for x
    x = 112,510,200,977,712,416/153,671,081.50
  6. Step 6: Final answer
    x = 732,149,470.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.