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Finding the Third Proportional to 111,574,924 and 260,545,729

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Solution

The third proportional to 111,574,924 and 260,545,729 is: 608,416,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,574,924 : 260,545,729 = 260,545,729 : x
  2. Step 2: Convert to fraction form
    111,574,924/260,545,729 = 260,545,729/x
  3. Step 3: Cross multiply
    111,574,924x = 260,545,729 × 260,545,729
  4. Step 4: Simplify right side
    111,574,924x = 67,884,076,900,141,440
  5. Step 5: Solve for x
    x = 67,884,076,900,141,440/111,574,924
  6. Step 6: Final answer
    x = 608,416,967.42

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.