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Finding the Third Proportional to 145,704,316.50 and 297,261,562.50

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Solution

The third proportional to 145,704,316.50 and 297,261,562.50 is: 606,464,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,704,316.50 : 297,261,562.50 = 297,261,562.50 : x
  2. Step 2: Convert to fraction form
    145,704,316.50/297,261,562.50 = 297,261,562.50/x
  3. Step 3: Cross multiply
    145,704,316.50x = 297,261,562.50 × 297,261,562.50
  4. Step 4: Simplify right side
    145,704,316.50x = 88,364,436,539,941,408
  5. Step 5: Solve for x
    x = 88,364,436,539,941,408/145,704,316.50
  6. Step 6: Final answer
    x = 606,464,095.66

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Why These Related Problems?

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