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Finding the Third Proportional to 358,180,643.25 and 771,158,758.50

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Solution

The third proportional to 358,180,643.25 and 771,158,758.50 is: 1,660,295,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,180,643.25 : 771,158,758.50 = 771,158,758.50 : x
  2. Step 2: Convert to fraction form
    358,180,643.25/771,158,758.50 = 771,158,758.50/x
  3. Step 3: Cross multiply
    358,180,643.25x = 771,158,758.50 × 771,158,758.50
  4. Step 4: Simplify right side
    358,180,643.25x = 594,685,830,811,261,312
  5. Step 5: Solve for x
    x = 594,685,830,811,261,312/358,180,643.25
  6. Step 6: Final answer
    x = 1,660,295,836.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.