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Finding the Third Proportional to 98,564,683.50 and 153,223,240.50

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Solution

The third proportional to 98,564,683.50 and 153,223,240.50 is: 238,192,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564,683.50 : 153,223,240.50 = 153,223,240.50 : x
  2. Step 2: Convert to fraction form
    98,564,683.50/153,223,240.50 = 153,223,240.50/x
  3. Step 3: Cross multiply
    98,564,683.50x = 153,223,240.50 × 153,223,240.50
  4. Step 4: Simplify right side
    98,564,683.50x = 23,477,361,429,320,840
  5. Step 5: Solve for x
    x = 23,477,361,429,320,840/98,564,683.50
  6. Step 6: Final answer
    x = 238,192,429.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.