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Finding the Third Proportional to 144,005,607 and 228,762,994.50

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Solution

The third proportional to 144,005,607 and 228,762,994.50 is: 363,406,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005,607 : 228,762,994.50 = 228,762,994.50 : x
  2. Step 2: Convert to fraction form
    144,005,607/228,762,994.50 = 228,762,994.50/x
  3. Step 3: Cross multiply
    144,005,607x = 228,762,994.50 × 228,762,994.50
  4. Step 4: Simplify right side
    144,005,607x = 52,332,507,652,607,032
  5. Step 5: Solve for x
    x = 52,332,507,652,607,032/144,005,607
  6. Step 6: Final answer
    x = 363,406,041.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.