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Finding the Third Proportional to 145,705,666.50 and 297,264,253.50

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Solution

The third proportional to 145,705,666.50 and 297,264,253.50 is: 606,469,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,705,666.50 : 297,264,253.50 = 297,264,253.50 : x
  2. Step 2: Convert to fraction form
    145,705,666.50/297,264,253.50 = 297,264,253.50/x
  3. Step 3: Cross multiply
    145,705,666.50x = 297,264,253.50 × 297,264,253.50
  4. Step 4: Simplify right side
    145,705,666.50x = 88,366,036,408,912,256
  5. Step 5: Solve for x
    x = 88,366,036,408,912,256/145,705,666.50
  6. Step 6: Final answer
    x = 606,469,456.76

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.