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Finding the Third Proportional to 103,453,392 and 172,415,106

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Solution

The third proportional to 103,453,392 and 172,415,106 is: 287,346,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,453,392 : 172,415,106 = 172,415,106 : x
  2. Step 2: Convert to fraction form
    103,453,392/172,415,106 = 172,415,106/x
  3. Step 3: Cross multiply
    103,453,392x = 172,415,106 × 172,415,106
  4. Step 4: Simplify right side
    103,453,392x = 29,726,968,776,991,236
  5. Step 5: Solve for x
    x = 29,726,968,776,991,236/103,453,392
  6. Step 6: Final answer
    x = 287,346,487.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.