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Finding the Third Proportional to 170,365,140 and 370,580,011

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Solution

The third proportional to 170,365,140 and 370,580,011 is: 806,089,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,365,140 : 370,580,011 = 370,580,011 : x
  2. Step 2: Convert to fraction form
    170,365,140/370,580,011 = 370,580,011/x
  3. Step 3: Cross multiply
    170,365,140x = 370,580,011 × 370,580,011
  4. Step 4: Simplify right side
    170,365,140x = 137,329,544,552,760,128
  5. Step 5: Solve for x
    x = 137,329,544,552,760,128/170,365,140
  6. Step 6: Final answer
    x = 806,089,464.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.