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Finding the Third Proportional to 102,136,303.50 and 152,842,583.25

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Solution

The third proportional to 102,136,303.50 and 152,842,583.25 is: 228,722,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136,303.50 : 152,842,583.25 = 152,842,583.25 : x
  2. Step 2: Convert to fraction form
    102,136,303.50/152,842,583.25 = 152,842,583.25/x
  3. Step 3: Cross multiply
    102,136,303.50x = 152,842,583.25 × 152,842,583.25
  4. Step 4: Simplify right side
    102,136,303.50x = 23,360,855,254,533,180
  5. Step 5: Solve for x
    x = 23,360,855,254,533,180/102,136,303.50
  6. Step 6: Final answer
    x = 228,722,349.00

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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.