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Finding the Third Proportional to 200,831,433 and 310,335,775.50

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Solution

The third proportional to 200,831,433 and 310,335,775.50 is: 479,547,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,433 : 310,335,775.50 = 310,335,775.50 : x
  2. Step 2: Convert to fraction form
    200,831,433/310,335,775.50 = 310,335,775.50/x
  3. Step 3: Cross multiply
    200,831,433x = 310,335,775.50 × 310,335,775.50
  4. Step 4: Simplify right side
    200,831,433x = 96,308,293,555,186,400
  5. Step 5: Solve for x
    x = 96,308,293,555,186,400/200,831,433
  6. Step 6: Final answer
    x = 479,547,908.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.