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Finding the Third Proportional to 105,690,308 and 148,836,117

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Solution

The third proportional to 105,690,308 and 148,836,117 is: 209,595,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690,308 : 148,836,117 = 148,836,117 : x
  2. Step 2: Convert to fraction form
    105,690,308/148,836,117 = 148,836,117/x
  3. Step 3: Cross multiply
    105,690,308x = 148,836,117 × 148,836,117
  4. Step 4: Simplify right side
    105,690,308x = 22,152,189,723,637,688
  5. Step 5: Solve for x
    x = 22,152,189,723,637,688/105,690,308
  6. Step 6: Final answer
    x = 209,595,280.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.