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Finding the Third Proportional to 67,132,465 and 103,664,271

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Solution

The third proportional to 67,132,465 and 103,664,271 is: 160,075,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,465 : 103,664,271 = 103,664,271 : x
  2. Step 2: Convert to fraction form
    67,132,465/103,664,271 = 103,664,271/x
  3. Step 3: Cross multiply
    67,132,465x = 103,664,271 × 103,664,271
  4. Step 4: Simplify right side
    67,132,465x = 10,746,281,081,961,440
  5. Step 5: Solve for x
    x = 10,746,281,081,961,440/67,132,465
  6. Step 6: Final answer
    x = 160,075,770.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.