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Finding the Third Proportional to 100,059,645,749 and 152,433,949,011

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Solution

The third proportional to 100,059,645,749 and 152,433,949,011 is: 232,222,577,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,059,645,749 : 152,433,949,011 = 152,433,949,011 : x
  2. Step 2: Convert to fraction form
    100,059,645,749/152,433,949,011 = 152,433,949,011/x
  3. Step 3: Cross multiply
    100,059,645,749x = 152,433,949,011 × 152,433,949,011
  4. Step 4: Simplify right side
    100,059,645,749x = 23,236,108,811,088,148,037,632
  5. Step 5: Solve for x
    x = 23,236,108,811,088,148,037,632/100,059,645,749
  6. Step 6: Final answer
    x = 232,222,577,215.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.