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Finding the Third Proportional to 126,111,572 and 190,069,392

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Solution

The third proportional to 126,111,572 and 190,069,392 is: 286,463,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,111,572 : 190,069,392 = 190,069,392 : x
  2. Step 2: Convert to fraction form
    126,111,572/190,069,392 = 190,069,392/x
  3. Step 3: Cross multiply
    126,111,572x = 190,069,392 × 190,069,392
  4. Step 4: Simplify right side
    126,111,572x = 36,126,373,775,249,664
  5. Step 5: Solve for x
    x = 36,126,373,775,249,664/126,111,572
  6. Step 6: Final answer
    x = 286,463,590.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.