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Finding the Third Proportional to 72,114,305.63 and 170,064,050.06

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Solution

The third proportional to 72,114,305.63 and 170,064,050.06 is: 401,054,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,114,305.63 : 170,064,050.06 = 170,064,050.06 : x
  2. Step 2: Convert to fraction form
    72,114,305.63/170,064,050.06 = 170,064,050.06/x
  3. Step 3: Cross multiply
    72,114,305.63x = 170,064,050.06 × 170,064,050.06
  4. Step 4: Simplify right side
    72,114,305.63x = 28,921,781,123,660,508
  5. Step 5: Solve for x
    x = 28,921,781,123,660,508/72,114,305.63
  6. Step 6: Final answer
    x = 401,054,698.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.