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Finding the Third Proportional to 102,346,924 and 241,606,368.50

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Solution

The third proportional to 102,346,924 and 241,606,368.50 is: 570,350,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346,924 : 241,606,368.50 = 241,606,368.50 : x
  2. Step 2: Convert to fraction form
    102,346,924/241,606,368.50 = 241,606,368.50/x
  3. Step 3: Cross multiply
    102,346,924x = 241,606,368.50 × 241,606,368.50
  4. Step 4: Simplify right side
    102,346,924x = 58,373,637,299,757,792
  5. Step 5: Solve for x
    x = 58,373,637,299,757,792/102,346,924
  6. Step 6: Final answer
    x = 570,350,676.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.