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Finding the Third Proportional to 179,700,374 and 262,811,358

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Solution

The third proportional to 179,700,374 and 262,811,358 is: 384,360,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,700,374 : 262,811,358 = 262,811,358 : x
  2. Step 2: Convert to fraction form
    179,700,374/262,811,358 = 262,811,358/x
  3. Step 3: Cross multiply
    179,700,374x = 262,811,358 × 262,811,358
  4. Step 4: Simplify right side
    179,700,374x = 69,069,809,893,804,160
  5. Step 5: Solve for x
    x = 69,069,809,893,804,160/179,700,374
  6. Step 6: Final answer
    x = 384,360,969.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.