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Finding the Third Proportional to 102,465,412 and 158,486,178

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Solution

The third proportional to 102,465,412 and 158,486,178 is: 245,135,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,412 : 158,486,178 = 158,486,178 : x
  2. Step 2: Convert to fraction form
    102,465,412/158,486,178 = 158,486,178/x
  3. Step 3: Cross multiply
    102,465,412x = 158,486,178 × 158,486,178
  4. Step 4: Simplify right side
    102,465,412x = 25,117,868,617,047,684
  5. Step 5: Solve for x
    x = 25,117,868,617,047,684/102,465,412
  6. Step 6: Final answer
    x = 245,135,096.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.