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Finding the Third Proportional to 102,136,235 and 152,842,480

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Solution

The third proportional to 102,136,235 and 152,842,480 is: 228,722,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136,235 : 152,842,480 = 152,842,480 : x
  2. Step 2: Convert to fraction form
    102,136,235/152,842,480 = 152,842,480/x
  3. Step 3: Cross multiply
    102,136,235x = 152,842,480 × 152,842,480
  4. Step 4: Simplify right side
    102,136,235x = 23,360,823,692,550,400
  5. Step 5: Solve for x
    x = 23,360,823,692,550,400/102,136,235
  6. Step 6: Final answer
    x = 228,722,193.38

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