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Finding the Third Proportional to 102,097,575 and 154,362,094.50

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Solution

The third proportional to 102,097,575 and 154,362,094.50 is: 233,381,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097,575 : 154,362,094.50 = 154,362,094.50 : x
  2. Step 2: Convert to fraction form
    102,097,575/154,362,094.50 = 154,362,094.50/x
  3. Step 3: Cross multiply
    102,097,575x = 154,362,094.50 × 154,362,094.50
  4. Step 4: Simplify right side
    102,097,575x = 23,827,656,218,426,932
  5. Step 5: Solve for x
    x = 23,827,656,218,426,932/102,097,575
  6. Step 6: Final answer
    x = 233,381,216.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.