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Finding the Third Proportional to 53,467,803 and 114,609,316.50

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Solution

The third proportional to 53,467,803 and 114,609,316.50 is: 245,667,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467,803 : 114,609,316.50 = 114,609,316.50 : x
  2. Step 2: Convert to fraction form
    53,467,803/114,609,316.50 = 114,609,316.50/x
  3. Step 3: Cross multiply
    53,467,803x = 114,609,316.50 × 114,609,316.50
  4. Step 4: Simplify right side
    53,467,803x = 13,135,295,428,597,172
  5. Step 5: Solve for x
    x = 13,135,295,428,597,172/53,467,803
  6. Step 6: Final answer
    x = 245,667,386.57

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Why These Related Problems?

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