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Finding the Third Proportional to 98,566,101 and 153,225,283.50

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Solution

The third proportional to 98,566,101 and 153,225,283.50 is: 238,195,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,566,101 : 153,225,283.50 = 153,225,283.50 : x
  2. Step 2: Convert to fraction form
    98,566,101/153,225,283.50 = 153,225,283.50/x
  3. Step 3: Cross multiply
    98,566,101x = 153,225,283.50 × 153,225,283.50
  4. Step 4: Simplify right side
    98,566,101x = 23,477,987,503,655,372
  5. Step 5: Solve for x
    x = 23,477,987,503,655,372/98,566,101
  6. Step 6: Final answer
    x = 238,195,355.86

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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.