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Finding the Third Proportional to 229,224,715.50 and 357,457,345.50

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Solution

The third proportional to 229,224,715.50 and 357,457,345.50 is: 557,425,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,224,715.50 : 357,457,345.50 = 357,457,345.50 : x
  2. Step 2: Convert to fraction form
    229,224,715.50/357,457,345.50 = 357,457,345.50/x
  3. Step 3: Cross multiply
    229,224,715.50x = 357,457,345.50 × 357,457,345.50
  4. Step 4: Simplify right side
    229,224,715.50x = 127,775,753,851,906,368
  5. Step 5: Solve for x
    x = 127,775,753,851,906,368/229,224,715.50
  6. Step 6: Final answer
    x = 557,425,727.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.