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Finding the Third Proportional to 97,423,784 and 214,132,048

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Solution

The third proportional to 97,423,784 and 214,132,048 is: 470,650,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423,784 : 214,132,048 = 214,132,048 : x
  2. Step 2: Convert to fraction form
    97,423,784/214,132,048 = 214,132,048/x
  3. Step 3: Cross multiply
    97,423,784x = 214,132,048 × 214,132,048
  4. Step 4: Simplify right side
    97,423,784x = 45,852,533,980,674,304
  5. Step 5: Solve for x
    x = 45,852,533,980,674,304/97,423,784
  6. Step 6: Final answer
    x = 470,650,308.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.