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Finding the Third Proportional to 102,977,365.50 and 152,684,192.25

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Solution

The third proportional to 102,977,365.50 and 152,684,192.25 is: 226,384,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,977,365.50 : 152,684,192.25 = 152,684,192.25 : x
  2. Step 2: Convert to fraction form
    102,977,365.50/152,684,192.25 = 152,684,192.25/x
  3. Step 3: Cross multiply
    102,977,365.50x = 152,684,192.25 × 152,684,192.25
  4. Step 4: Simplify right side
    102,977,365.50x = 23,312,462,563,034,960
  5. Step 5: Solve for x
    x = 23,312,462,563,034,960/102,977,365.50
  6. Step 6: Final answer
    x = 226,384,336.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.