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Finding the Third Proportional to 99,338,937,246 and 148,971,920,728.50

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Solution

The third proportional to 99,338,937,246 and 148,971,920,728.50 is: 223,403,166,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,338,937,246 : 148,971,920,728.50 = 148,971,920,728.50 : x
  2. Step 2: Convert to fraction form
    99,338,937,246/148,971,920,728.50 = 148,971,920,728.50/x
  3. Step 3: Cross multiply
    99,338,937,246x = 148,971,920,728.50 × 148,971,920,728.50
  4. Step 4: Simplify right side
    99,338,937,246x = 22,192,633,165,538,486,386,688
  5. Step 5: Solve for x
    x = 22,192,633,165,538,486,386,688/99,338,937,246
  6. Step 6: Final answer
    x = 223,403,166,782.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.