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Finding the Third Proportional to 76,977,324 and 167,506,123.50

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Solution

The third proportional to 76,977,324 and 167,506,123.50 is: 364,500,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977,324 : 167,506,123.50 = 167,506,123.50 : x
  2. Step 2: Convert to fraction form
    76,977,324/167,506,123.50 = 167,506,123.50/x
  3. Step 3: Cross multiply
    76,977,324x = 167,506,123.50 × 167,506,123.50
  4. Step 4: Simplify right side
    76,977,324x = 28,058,301,409,997,252
  5. Step 5: Solve for x
    x = 28,058,301,409,997,252/76,977,324
  6. Step 6: Final answer
    x = 364,500,867.94

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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.