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Finding the Third Proportional to 233,089,009.59 and 349,547,923.97

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Solution

The third proportional to 233,089,009.59 and 349,547,923.97 is: 524,193,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,089,009.59 : 349,547,923.97 = 349,547,923.97 : x
  2. Step 2: Convert to fraction form
    233,089,009.59/349,547,923.97 = 349,547,923.97/x
  3. Step 3: Cross multiply
    233,089,009.59x = 349,547,923.97 × 349,547,923.97
  4. Step 4: Simplify right side
    233,089,009.59x = 122,183,751,150,863,024
  5. Step 5: Solve for x
    x = 122,183,751,150,863,024/233,089,009.59
  6. Step 6: Final answer
    x = 524,193,531.75

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