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Finding the Third Proportional to 86,709,045.12 and 178,014,797.57

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Solution

The third proportional to 86,709,045.12 and 178,014,797.57 is: 365,466,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,709,045.12 : 178,014,797.57 = 178,014,797.57 : x
  2. Step 2: Convert to fraction form
    86,709,045.12/178,014,797.57 = 178,014,797.57/x
  3. Step 3: Cross multiply
    86,709,045.12x = 178,014,797.57 × 178,014,797.57
  4. Step 4: Simplify right side
    86,709,045.12x = 31,689,268,153,457,280
  5. Step 5: Solve for x
    x = 31,689,268,153,457,280/86,709,045.12
  6. Step 6: Final answer
    x = 365,466,695.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.