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Finding the Third Proportional to 229,525,925.63 and 498,020,901.75

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Solution

The third proportional to 229,525,925.63 and 498,020,901.75 is: 1,080,596,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525,925.63 : 498,020,901.75 = 498,020,901.75 : x
  2. Step 2: Convert to fraction form
    229,525,925.63/498,020,901.75 = 498,020,901.75/x
  3. Step 3: Cross multiply
    229,525,925.63x = 498,020,901.75 × 498,020,901.75
  4. Step 4: Simplify right side
    229,525,925.63x = 248,024,818,579,883,168
  5. Step 5: Solve for x
    x = 248,024,818,579,883,168/229,525,925.63
  6. Step 6: Final answer
    x = 1,080,596,093.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.