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Finding the Third Proportional to 229,224,709.69 and 357,457,336.03

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Solution

The third proportional to 229,224,709.69 and 357,457,336.03 is: 557,425,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,224,709.69 : 357,457,336.03 = 357,457,336.03 : x
  2. Step 2: Convert to fraction form
    229,224,709.69/357,457,336.03 = 357,457,336.03/x
  3. Step 3: Cross multiply
    229,224,709.69x = 357,457,336.03 × 357,457,336.03
  4. Step 4: Simplify right side
    229,224,709.69x = 127,775,747,082,557,984
  5. Step 5: Solve for x
    x = 127,775,747,082,557,984/229,224,709.69
  6. Step 6: Final answer
    x = 557,425,712.34

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