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Finding the Third Proportional to 233,089,026 and 349,547,949

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Solution

The third proportional to 233,089,026 and 349,547,949 is: 524,193,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,089,026 : 349,547,949 = 349,547,949 : x
  2. Step 2: Convert to fraction form
    233,089,026/349,547,949 = 349,547,949/x
  3. Step 3: Cross multiply
    233,089,026x = 349,547,949 × 349,547,949
  4. Step 4: Simplify right side
    233,089,026x = 122,183,768,650,106,608
  5. Step 5: Solve for x
    x = 122,183,768,650,106,608/233,089,026
  6. Step 6: Final answer
    x = 524,193,569.93

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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.