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Finding the Third Proportional to 96,911,485 and 212,652,835

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Solution

The third proportional to 96,911,485 and 212,652,835 is: 466,624,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,911,485 : 212,652,835 = 212,652,835 : x
  2. Step 2: Convert to fraction form
    96,911,485/212,652,835 = 212,652,835/x
  3. Step 3: Cross multiply
    96,911,485x = 212,652,835 × 212,652,835
  4. Step 4: Simplify right side
    96,911,485x = 45,221,228,233,537,224
  5. Step 5: Solve for x
    x = 45,221,228,233,537,224/96,911,485
  6. Step 6: Final answer
    x = 466,624,035.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.