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Finding the Third Proportional to 148,361,307.50 and 218,097,702.50

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Solution

The third proportional to 148,361,307.50 and 218,097,702.50 is: 320,613,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,361,307.50 : 218,097,702.50 = 218,097,702.50 : x
  2. Step 2: Convert to fraction form
    148,361,307.50/218,097,702.50 = 218,097,702.50/x
  3. Step 3: Cross multiply
    148,361,307.50x = 218,097,702.50 × 218,097,702.50
  4. Step 4: Simplify right side
    148,361,307.50x = 47,566,607,835,778,504
  5. Step 5: Solve for x
    x = 47,566,607,835,778,504/148,361,307.50
  6. Step 6: Final answer
    x = 320,613,296.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.