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Finding the Third Proportional to 76,977,306 and 167,506,087.50

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Solution

The third proportional to 76,977,306 and 167,506,087.50 is: 364,500,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977,306 : 167,506,087.50 = 167,506,087.50 : x
  2. Step 2: Convert to fraction form
    76,977,306/167,506,087.50 = 167,506,087.50/x
  3. Step 3: Cross multiply
    76,977,306x = 167,506,087.50 × 167,506,087.50
  4. Step 4: Simplify right side
    76,977,306x = 28,058,289,349,557,656
  5. Step 5: Solve for x
    x = 28,058,289,349,557,656/76,977,306
  6. Step 6: Final answer
    x = 364,500,796.50

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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.