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Finding the Third Proportional to 176,646,762 and 385,415,257.50

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Solution

The third proportional to 176,646,762 and 385,415,257.50 is: 840,915,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,646,762 : 385,415,257.50 = 385,415,257.50 : x
  2. Step 2: Convert to fraction form
    176,646,762/385,415,257.50 = 385,415,257.50/x
  3. Step 3: Cross multiply
    176,646,762x = 385,415,257.50 × 385,415,257.50
  4. Step 4: Simplify right side
    176,646,762x = 148,544,920,713,791,296
  5. Step 5: Solve for x
    x = 148,544,920,713,791,296/176,646,762
  6. Step 6: Final answer
    x = 840,915,050.08

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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.