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Finding the Third Proportional to 96,903,765 and 148,948,038

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Solution

The third proportional to 96,903,765 and 148,948,038 is: 228,943,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,903,765 : 148,948,038 = 148,948,038 : x
  2. Step 2: Convert to fraction form
    96,903,765/148,948,038 = 148,948,038/x
  3. Step 3: Cross multiply
    96,903,765x = 148,948,038 × 148,948,038
  4. Step 4: Simplify right side
    96,903,765x = 22,185,518,024,049,444
  5. Step 5: Solve for x
    x = 22,185,518,024,049,444/96,903,765
  6. Step 6: Final answer
    x = 228,943,818.89

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Why These Related Problems?

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