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Finding the Third Proportional to 52,484,047 and 114,519,208

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Solution

The third proportional to 52,484,047 and 114,519,208 is: 249,878,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,484,047 : 114,519,208 = 114,519,208 : x
  2. Step 2: Convert to fraction form
    52,484,047/114,519,208 = 114,519,208/x
  3. Step 3: Cross multiply
    52,484,047x = 114,519,208 × 114,519,208
  4. Step 4: Simplify right side
    52,484,047x = 13,114,649,000,947,264
  5. Step 5: Solve for x
    x = 13,114,649,000,947,264/52,484,047
  6. Step 6: Final answer
    x = 249,878,767.94

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