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Finding the Third Proportional to 48,698,574 and 107,136,746.50

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Solution

The third proportional to 48,698,574 and 107,136,746.50 is: 235,700,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,698,574 : 107,136,746.50 = 107,136,746.50 : x
  2. Step 2: Convert to fraction form
    48,698,574/107,136,746.50 = 107,136,746.50/x
  3. Step 3: Cross multiply
    48,698,574x = 107,136,746.50 × 107,136,746.50
  4. Step 4: Simplify right side
    48,698,574x = 11,478,282,450,605,262
  5. Step 5: Solve for x
    x = 11,478,282,450,605,262/48,698,574
  6. Step 6: Final answer
    x = 235,700,586.44

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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.