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Finding the Third Proportional to 69,433,772 and 148,433,076

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Solution

The third proportional to 69,433,772 and 148,433,076 is: 317,315,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,433,772 : 148,433,076 = 148,433,076 : x
  2. Step 2: Convert to fraction form
    69,433,772/148,433,076 = 148,433,076/x
  3. Step 3: Cross multiply
    69,433,772x = 148,433,076 × 148,433,076
  4. Step 4: Simplify right side
    69,433,772x = 22,032,378,050,821,776
  5. Step 5: Solve for x
    x = 22,032,378,050,821,776/69,433,772
  6. Step 6: Final answer
    x = 317,315,009.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.