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Finding the Third Proportional to 242,434,096 and 530,216,960

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Solution

The third proportional to 242,434,096 and 530,216,960 is: 1,159,614,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,434,096 : 530,216,960 = 530,216,960 : x
  2. Step 2: Convert to fraction form
    242,434,096/530,216,960 = 530,216,960/x
  3. Step 3: Cross multiply
    242,434,096x = 530,216,960 × 530,216,960
  4. Step 4: Simplify right side
    242,434,096x = 281,130,024,671,641,600
  5. Step 5: Solve for x
    x = 281,130,024,671,641,600/242,434,096
  6. Step 6: Final answer
    x = 1,159,614,218.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.