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Finding the Third Proportional to 152,397,541.13 and 228,939,670.69

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Solution

The third proportional to 152,397,541.13 and 228,939,670.69 is: 343,925,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,397,541.13 : 228,939,670.69 = 228,939,670.69 : x
  2. Step 2: Convert to fraction form
    152,397,541.13/228,939,670.69 = 228,939,670.69/x
  3. Step 3: Cross multiply
    152,397,541.13x = 228,939,670.69 × 228,939,670.69
  4. Step 4: Simplify right side
    152,397,541.13x = 52,413,372,814,500,944
  5. Step 5: Solve for x
    x = 52,413,372,814,500,944/152,397,541.13
  6. Step 6: Final answer
    x = 343,925,318.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.